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### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating### GAP PACKAGES

GAP Packages. Since 1992, sets of user contributed programs, called packages , have been distributed with GAP. For convenience of the GAP users, the GAP Group redistributes packages, but the package authors remain responsible for their maintenance. There is a designated and documented mechanism for loading packages into GAP including a smooth### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### 4.11.0 - GAP SYSTEM

GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and AUTOMATA - GAP SYSTEM GAP package Automata A package on automata The Automata package, as its name suggests, is package with algorithms to deal with automata.### Authors Manuel

Delgado, Steve Linton, José João Morais Maintainers Manuel Delgado, Steve Linton Shipped Version 1.14 (Released 26/09/2018) GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORG MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating### GAP PACKAGES

GAP Packages. Since 1992, sets of user contributed programs, called packages , have been distributed with GAP. For convenience of the GAP users, the GAP Group redistributes packages, but the package authors remain responsible for their maintenance. There is a designated and documented mechanism for loading packages into GAP including a smooth### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### 4.11.0 - GAP SYSTEM

GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and AUTOMATA - GAP SYSTEM GAP package Automata A package on automata The Automata package, as its name suggests, is package with algorithms to deal with automata.### Authors Manuel

Delgado, Steve Linton, José João Morais Maintainers Manuel Delgado, Steve Linton Shipped Version 1.14 (Released 26/09/2018)### OVERVIEW OF GAP

Overview of GAP GAP provides: Mathematical capabilities accessible through . a large library of functions, containing implementations of various algebraic algorithms. separate packages of additional functions for specialized purposes which can be used like library functions, ; data libraries containing large classes of various algebraic objects that are accessible by using GAP commands.### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating### GAP PACKAGES

GAP Packages. Since 1992, sets of user contributed programs, called packages , have been distributed with GAP. For convenience of the GAP users, the GAP Group redistributes packages, but the package authors remain responsible for their maintenance. There is a designated and documented mechanism for loading packages into GAP including a smooth### FINING - GAP SYSTEM

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The algebraic power of GAP is employed, particularly in its facility with matrix and permutation groups.### GRAPE - GAP SYSTEM

GRAPE is a package for computing with graphs and groups, and is primarily designed for constructing and analysing graphs related to groups, finite geometries, and designs. 4.8.3 (Released 09/12/2019) accepted (communicated by Leonard Soicher (QMUL), accepted 01/07/1993) GAP version: >=4.10. grape-4.8.3### GAP PACKAGE HAP

GAP package HAP Homological Algebra Programming This package provides some functions for group cohomology. Author Graham Ellis Maintainer Graham### Ellis

### GUAVA - GAP SYSTEM

GUAVA is a GAP package for computing with codes. GUAVA can construct unrestricted (non-linear), linear and cyclic codes; transform one code into another (for example by puncturing); construct a new code from two other codes (using direct sums for example); perform decoding/error-correction; and can calculate important data of codes### (such as the

FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups,### NUMERICALSGPS

GAP package NumericalSgps A package for numerical semigroups The NumericalSgps package, is a package to compute with numerical### semigroups.

Authors Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais Maintainers Manuel Delgado, Pedro A. Garcia-Sanchez Shipped Version 1.2.2 (Released 03/03/2020) VECTOR SPACES, MODULES AND ALGEBRAS Vector Spaces, Modules and Algebras. Vector spaces over fields and modules over rings can be defined when the coefficient domain is available in GAP. Note, however, that the range of implemented methods will depend on the coefficient domain. GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORG MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### 4.11.0 - GAP SYSTEM

GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and AUTOMATA - GAP SYSTEM GAP package Automata A package on automata The Automata package, as its name suggests, is package with algorithms to deal with automata.### Authors Manuel

Delgado, Steve Linton, José João Morais Maintainers Manuel Delgado, Steve Linton Shipped Version 1.14 (Released 26/09/2018) REFERENCES FOR METHODS OF COMPUTATIONAL GROUP THEORY References for Methods of Computational Group Theory. This page provides some guide to theoretical background material for the methods implemented in GAP and its packages. The most comprehensive (and extremely well-written) textbook on computational group theory (excluding computational representation theory) is the. GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORG MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### 4.11.0 - GAP SYSTEM

GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and AUTOMATA - GAP SYSTEM GAP package Automata A package on automata The Automata package, as its name suggests, is package with algorithms to deal with automata.### Authors Manuel

Delgado, Steve Linton, José João Morais Maintainers Manuel Delgado, Steve Linton Shipped Version 1.14 (Released 26/09/2018) REFERENCES FOR METHODS OF COMPUTATIONAL GROUP THEORY References for Methods of Computational Group Theory. This page provides some guide to theoretical background material for the methods implemented in GAP and its packages. The most comprehensive (and extremely well-written) textbook on computational group theory (excluding computational representation theory) is the.### OVERVIEW OF GAP

Overview of GAP GAP provides: Mathematical capabilities accessible through . a large library of functions, containing implementations of various algebraic algorithms. separate packages of additional functions for specialized purposes which can be used like library functions, ; data libraries containing large classes of various algebraic objects that are accessible by using GAP commands.### LEARNING GAP

Elementary Accounts The Tutorial is a basic introduction to some of the most commonly used functions and programming terms.; The Software Carpentry lesson "Programming with GAP" by Alexander Konovalov gives an introduction to GAP covering various aspects of work with the system from using the command line to explore algebraic objects interactively to saving the code into files, creating GAP INSTALLATION INSTRUCTIONS Otherwise, to install GAP using the source distribution, perform the following steps: Choose your preferred archive format and download the corresponding archive. Unpack the archive. On UNIX, Linux or macOS: compile the GAP core system by running ./configure; make in the unpacked directory. On UNIX, Linux or macOS: change to the pkg### GAP PACKAGES

GAP Packages. Since 1992, sets of user contributed programs, called packages , have been distributed with GAP. For convenience of the GAP users, the GAP Group redistributes packages, but the package authors remain responsible for their maintenance. There is a designated and documented mechanism for loading packages into GAP including a smooth### FINING - GAP SYSTEM

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The algebraic power of GAP is employed, particularly in its facility with matrix and permutation groups.### GRAPE - GAP SYSTEM

GRAPE is a package for computing with graphs and groups, and is primarily designed for constructing and analysing graphs related to groups, finite geometries, and designs. 4.8.3 (Released 09/12/2019) accepted (communicated by Leonard Soicher (QMUL), accepted 01/07/1993) GAP version: >=4.10. grape-4.8.3 FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups,### NUMERICALSGPS

GAP package NumericalSgps A package for numerical semigroups The NumericalSgps package, is a package to compute with numerical### semigroups.

Authors Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais Maintainers Manuel Delgado, Pedro A. Garcia-Sanchez Shipped Version 1.2.2 (Released 03/03/2020) PERMUTATION AND MATRIX GROUPS Permutation and Matrix Groups. For an overview of computational methods for permutation groups see the book of Ákos Seress.Historically, these methods started with Charles Sims' method for finding the order and a stabilizer chain nowadays known as the Schreier-Sims method, which is the basis of many functions implemented### in GAP.

VECTOR SPACES, MODULES AND ALGEBRAS Vector Spaces, Modules and Algebras. Vector spaces over fields and modules over rings can be defined when the coefficient domain is available in GAP. Note, however, that the range of implemented methods will depend on the coefficient domain. GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORG MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules. GAP INSTALLATION INSTRUCTIONS Otherwise, to install GAP using the source distribution, perform the following steps: Choose your preferred archive format and download the corresponding archive. Unpack the archive. On UNIX, Linux or macOS: compile the GAP core system by running ./configure; make in the unpacked directory. On UNIX, Linux or macOS: change to the pkg TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### FINING - GAP SYSTEM

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The algebraic power of GAP is employed, particularly in its facility with matrix and permutation groups. FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups,### NUMERICALSGPS

GAP package NumericalSgps A package for numerical semigroups The NumericalSgps package, is a package to compute with numerical### semigroups.

Authors Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais Maintainers Manuel Delgado, Pedro A. Garcia-Sanchez Shipped Version 1.2.2 (Released 03/03/2020) PERMUTATION AND MATRIX GROUPS Permutation and Matrix Groups. For an overview of computational methods for permutation groups see the book of Ákos Seress.Historically, these methods started with Charles Sims' method for finding the order and a stabilizer chain nowadays known as the Schreier-Sims method, which is the basis of many functions implemented### in GAP.

GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORG MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules. GAP INSTALLATION INSTRUCTIONS Otherwise, to install GAP using the source distribution, perform the following steps: Choose your preferred archive format and download the corresponding archive. Unpack the archive. On UNIX, Linux or macOS: compile the GAP core system by running ./configure; make in the unpacked directory. On UNIX, Linux or macOS: change to the pkg TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7.### FINING - GAP SYSTEM

FinInG is a package for computation in Finite Incidence Geometry. It provides users with the basic tools to work in various areas of finite geometry from the realms of projective spaces to the flat lands of generalised polygons. The algebraic power of GAP is employed, particularly in its facility with matrix and permutation groups. FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups,### NUMERICALSGPS

GAP package NumericalSgps A package for numerical semigroups The NumericalSgps package, is a package to compute with numerical### semigroups.

Authors Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais Maintainers Manuel Delgado, Pedro A. Garcia-Sanchez Shipped Version 1.2.2 (Released 03/03/2020) PERMUTATION AND MATRIX GROUPS Permutation and Matrix Groups. For an overview of computational methods for permutation groups see the book of Ákos Seress.Historically, these methods started with Charles Sims' method for finding the order and a stabilizer chain nowadays known as the Schreier-Sims method, which is the basis of many functions implemented### in GAP.

### OVERVIEW OF GAP

Overview of GAP GAP provides: Mathematical capabilities accessible through . a large library of functions, containing implementations of various algebraic algorithms. separate packages of additional functions for specialized purposes which can be used like library functions, ; data libraries containing large classes of various algebraic objects that are accessible by using GAP commands.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory GAP INSTALLATION INSTRUCTIONS Otherwise, to install GAP using the source distribution, perform the following steps: Choose your preferred archive format and download the corresponding archive. Unpack the archive. On UNIX, Linux or macOS: compile the GAP core system by running ./configure; make in the unpacked directory. On UNIX, Linux or macOS: change to the pkg### 4.11.0 - GAP SYSTEM

GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and ALTERNATIVE WAYS OF GETTING GAP If you have installed Docker, first you need to download the GAP container using. docker pull gapsystem/gap-docker. After that, you may just type. docker run --rm -i -t gapsystem/gap-docker gap. to start GAP. Note that you may have to run it with sudo, particularly if you are on Ubuntu. Further instructions could be found here .### 4.10.0 - GAP SYSTEM

GAP 4.10.0. For an overview of changes in GAP 4.10.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure; make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and tools### TEACHING MATERIAL

Teaching Material. See also the page on Learning GAP, which refers to material that may help you if you want to learn GAP on your own or to teach it. GAP has been used in lecture courses of various levels, both for providing examples and for creating teaching material, in particular exercises. VECTOR SPACES, MODULES AND ALGEBRAS Vector Spaces, Modules and Algebras. Vector spaces over fields and modules over rings can be defined when the coefficient domain is available in GAP. Note, however, that the range of implemented methods will depend on the coefficient domain. FINITELY PRESENTED GROUPS Finitely Presented Groups. It follows from the well known theorems on the algorithmic unsolvability of the word problem and related problems that there are no deterministic methods to answer most questions about the structure of finitely presented groups. INFORMATION FOR GAP PACKAGE AUTHORS The interface between GAP and a GAP package consists of two or three files PackageInfo.g, init.g and read.g. The first of these contains meta information on a package for loading and (possibly) distribution. Probably the easiest way to create it to use the PackageInfo.g file from the Example package, which has detailed comments on each entry. GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORGGAP ANALYSIS EXAMPLEGAP CERTIFICATIONPERFORMANCE GAP ANALYSIS TEMPLATESOFTWARE GAP ANALYSISSOFTWARE GAP ANALYSIS PROCESSSOFTWARE GAP ANALYSIS TEMPLATE MANUALS - GAP SYSTEMGARMIN GAP 26GARMIN GAP 26 AOA PROBEGARMIN GAP 26### INSTALLATION

The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7. 4.11.0 - GAP SYSTEM4 11 AND 5 94 11 IN M4 11 WOMENWHAT IS 4 11 GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups, VECTOR SPACES, MODULES AND ALGEBRAS Vector Spaces, Modules and Algebras. Vector spaces over fields and modules over rings can be defined when the coefficient domain is available in GAP. Note, however, that the range of implemented methods will depend on the coefficient domain. PERMUTATION AND MATRIX GROUPS Permutation and Matrix Groups. For an overview of computational methods for permutation groups see the book of Ákos Seress.Historically, these methods started with Charles Sims' method for finding the order and a stabilizer chain nowadays known as the Schreier-Sims method, which is the basis of many functions implemented### in GAP.

GAP SYSTEM FOR COMPUTATIONAL DISCRETE ALGEBRASTARTDOWNLOADSINSTALLATIONOVERVIEWDATA LIBRARIESPACKAGES GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the DOWNLOADING AND INSTALLING GAP 4SEE MORE ON GAP-SYSTEM.ORGGAP ANALYSIS EXAMPLEGAP CERTIFICATIONPERFORMANCE GAP ANALYSIS TEMPLATESOFTWARE GAP ANALYSISSOFTWARE GAP ANALYSIS PROCESSSOFTWARE GAP ANALYSIS TEMPLATE MANUALS - GAP SYSTEMGARMIN GAP 26GARMIN GAP 26 AOA PROBEGARMIN GAP 26### INSTALLATION

The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules.### GAP RELEASES

GAP system for computational discrete algebra, especially computational group theory TOOLS NEEDED TO INSTALL GAP FROM SOURCE Tools needed to install GAP from source. Installing the GAP distribution with all the packages and full data libraries from source code (as opposed to via e.g. the Windows binary installed for GAP) requires a working C and C++ development environment on your system aa### well as GNU make.

### ACE - GAP SYSTEM

The ACE package provides both an interactive and non-interactive interface with the Todd-Coxeter coset enumeration functions of the ACE (Advanced Coset Enumerator) C program. 5.3 (Released 12/02/2020) accepted (communicated by Joachim Neubüser (Aachen), accepted 01/04/2001) GAP version: >= 4.7. 4.11.0 - GAP SYSTEM4 11 AND 5 94 11 IN M4 11 WOMENWHAT IS 4 11 GAP 4.11.0. For an overview of changes in GAP 4.11.0 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure && make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and FINITELY PRESENTED GROUPS The main GAP library provides methods for handling finitely presented groups such as. Reidemeister-Schreier, Low Index Subgroups, as well as. certain quotient methods. Also there are functions to handle Tietze transformations . FGA providing algorithms for free groups, VECTOR SPACES, MODULES AND ALGEBRAS Vector Spaces, Modules and Algebras. Vector spaces over fields and modules over rings can be defined when the coefficient domain is available in GAP. Note, however, that the range of implemented methods will depend on the coefficient domain. PERMUTATION AND MATRIX GROUPS Permutation and Matrix Groups. For an overview of computational methods for permutation groups see the book of Ákos Seress.Historically, these methods started with Charles Sims' method for finding the order and a stabilizer chain nowadays known as the Schreier-Sims method, which is the basis of many functions implemented### in GAP.

### OVERVIEW OF GAP

Overview of GAP GAP provides: Mathematical capabilities accessible through . a large library of functions, containing implementations of various algebraic algorithms. separate packages of additional functions for specialized purposes which can be used like library functions, ; data libraries containing large classes of various algebraic objects that are accessible by using GAP commands. MANUALS - GAP SYSTEM The following manuals of current GAP packages are also available. Almost Crystallographic Groups - A Library and Algorithms. Algebraic number theory and an interface to PARI/GP. A GAP Interface to the Atlas of Group Representations. Interface to CARAT, a crystallographic groups package. Cohomology groups of finite groups on finite modules. GAP INSTALLATION INSTRUCTIONS Otherwise, to install GAP using the source distribution, perform the following steps: Choose your preferred archive format and download the corresponding archive. Unpack the archive. On UNIX, Linux or macOS: compile the GAP core system by running ./configure; make in the unpacked directory. On UNIX, Linux or macOS: change to the pkg### DATA LIBRARIES

Data Libraries. GAP contains several data libraries. Some of these are parts of the core GAP system, while some others are technically GAP packages and must be loaded using the LoadPackage mechanism.. Data libraries which are parts of the core GAP system: ALTERNATIVE WAYS OF GETTING GAP If you have installed Docker, first you need to download the GAP container using. docker pull gapsystem/gap-docker. After that, you may just type. docker run --rm -i -t gapsystem/gap-docker gap. to start GAP. Note that you may have to run it with sudo, particularly if you are on Ubuntu. Further instructions could be found here .### GUAVA - GAP SYSTEM

GUAVA is a GAP package for computing with codes. GUAVA can construct unrestricted (non-linear), linear and cyclic codes; transform one code into another (for example by puncturing); construct a new code from two other codes (using direct sums for example); perform decoding/error-correction; and can calculate important data of codes### (such as the

### 4.10.1 - GAP SYSTEM

GAP 4.10.1. For an overview of changes in GAP 4.10.1 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure; make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and tools### NUMERICALSGPS

GAP package NumericalSgps A package for numerical semigroups The NumericalSgps package, is a package to compute with numerical### semigroups.

Authors Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais Maintainers Manuel Delgado, Pedro A. Garcia-Sanchez Shipped Version 1.2.2 (Released 03/03/2020)### 4.10.2 - GAP SYSTEM

GAP 4.10.2. For an overview of changes in GAP 4.10.2 see CHANGES.md file.. Linux and OS X. Download one of the archives below, unpack it and run ./configure; make in the unpacked directory. Then change to the pkg subdirectory and call ../bin/BuildPackages.sh to run the script which will build most of the packages that require compilation (provided sufficiently many libraries, headers and tools GAP FORUM: RE: FROBENIUS To the best of my knowledge there is no function in the GAP. distribution that would directly answer the question whether a given. finite group is a Frobenius group. However if you look up a. group-theory text book, e.g. Huppert, Endliche Gruppen I, Chapter V, Paragraph 8, p. 495 ff 'Frobeniusgruppen' you will find many### necessary.

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### _WELCOME TO_

GAP - Groups, Algorithms, Programming - a System for Computational Discrete Algebra The current version is GAP 4.11.1 released### on 02 March 2021.

### WHAT IS GAP?

GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory . GAP provides a programming language### , a library of

thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the mathematical capabilities . GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more. The system, including source, is distributed freely . You can study and easily modify or extend it for your special use. In July 2008, GAP was awarded the _ACM/SIGSAM Richard Dimick Jenks### Memorial Prize for

Excellence in Software Engineering applied to Computer Algebra_.### HOW TO OBTAIN GAP?

The current release is GAP 4.11.1 and it can be obtained from our downloads page . This website describes this release if not stated otherwise. Changes from earlier versions are described in the Release history### .

WE ARE LOOKING FORWARD TO HEARING FROM YOU! We welcome contributions to GAP. The GAP development repository is hosted on GitHub . You may find some guidance on contributing via GitHub here### . If

you have any questions, or suggestions for GAP, the repository, or documentation, feel free to contact us via the open GAP development### mailing list or

submit an issue or a pull request on GitHub. There is an extensive documentation advising how to write a GAP code. Also there is a guidance on developing a GAP package and its submission### to GAP.

The GAP Group welcomes contacts with the GAP users and offers support for them. To keep up to date on GAP news (discussion of problems, release announcements, bug fixes), we suggest you to subscribe### to the

email-based GAP Forum . You may also follow GAP on Twitter . Please tell us about your use of GAP in research or teaching. We may well want to provide a link to your work. If your work is published then we ask you to cite GAP like a journal article or book. We maintain a Bibliography of publications citing GAP. Please help us keeping it up to date.### ACKNOWLEDGEMENTS

GAP has been and is developed by international cooperation of many people , including user contributions. We gratefully acknowledge all this help as well as some funding . GAP was started at Lehrstuhl D für Mathematik , RWTH Aachen in 1986### . After 1997

### the development

of GAP was coordinated in St Andrews . At present, the GAP Centers### in Aachen

### , Braunschweig

### , Fort Collins

### , Kaiserslautern

### and St Andrews

are jointly coordinating the further development and maintenance of GAP. -------------------------### The GAP Group

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