passagemath-gap 10.8.10

About this pip-installable distribution package

This pip-installable distribution passagemath-gap is a small distribution that provides modules that depend on the GAP system.

What is included

• Cython interface to libgap

• Pexpect interface to GAP

• numerous modules with build-time dependencies on GAP, see MANIFEST

• the binary wheels on PyPI ship a prebuilt copy of GAP and at least the following GAP packages:

  • atlasrep: Interface to the Atlas of Group Representations

  • autodoc: Generate documentation from GAP source code

  • autpgrp: Computing the automorphism group of a p-group

  • cohomolo: Cohomology groups of finite groups on finite modules

  • corelg: Computing with real Lie algebras

  • crime: Group cohomology and Massey products

  • crisp: Computing with radicals, injectors, Schunck classes and projectors

  • crypting: Hashes and crypto

  • datastructures: Collection of standard data structures

  • design: Constructing, classifying, partitioning, and studying block designs

  • digraphs: Graphs, digraphs, and multidigraphs

  • factint: Advanced methods for factoring integers

  • fga: Free group algorithms

  • gapdoc: Meta package for GAP documentation

  • gbnp: Gröbner bases of noncommutative polynomials

  • genss: Generic Schreier-Sims

  • grape: GRaph Algorithms using PErmutation groups

  • guava: Computing with error-correcting codes

  • hecke: Calculating decomposition matrices of Hecke algebras

  • images: Minimal and canonical images

  • jupyterviz: Visualization Tools for Jupyter and the GAP REPL

  • io: Bindings for low level C library I/O routines

  • json: Reading and Writing JSON

  • laguna: Lie AlGebras and UNits of group Algebras

  • liealgdb: Database of Lie algebras

  • liepring: Database and algorithms for Lie p-rings

  • liering: Computing with finitely presented Lie rings

  • lins: Computing the normal subgroups of a finitely presented group

  • loops: Computing with quasigroups and loops

  • mapclass: Mapping class orbit computation

  • orb: Methods to enumerate orbits

  • packagemanager: Easily download and install GAP packages

  • primgrp: Primitive permutation groups library

  • quagroup: Computations with quantum groups

  • qpa: Quivers and path algebras

  • repsn: Constructing representations of finite groups

  • sla: Simple Lie algebras

  • smallgrp: The GAP Small Groups Library

  • sonata: System of nearrings and their applications

  • sophus: Computing in nilpotent Lie algebras

  • toric: Toric varieties and some combinatorial geometry computations

  • utils: Utility functions

  • uuid: RFC 4122 UUIDs

  • ZeroMQInterface: ZeroMQ bindings

• the binary wheels on PyPI ship a prebuilt copy of the native Jupyter kernel for GAP

Examples

Running GAP from the command line:

$ pipx run --spec "passagemath-gap" sage -gap
 ┌───────┐   GAP 4.14.0 of 2024-12-05
 │  GAP  │   https://www.gap-system.org
 └───────┘   Architecture: x86_64-apple-darwin22-default64-kv9
 Configuration:  gmp 6.3.0, GASMAN, readline
 Loading the library and packages ...
 Packages:   GAPDoc 1.6.7, PrimGrp 3.4.4, SmallGrp 1.5.4, TransGrp 3.6.5
 Try '??help' for help. See also '?copyright', '?cite' and '?authors'
gap>

Using the library interface from Python:

$ pipx run --spec "passagemath-gap[test]" IPython

In [1]: from passagemath_modules import *

In [2]: from passagemath_gap import *

In [3]: G = libgap.eval("Group([(1,2,3), (1,2)(3,4), (1,7)])")

In [4]: CG = G.ConjugacyClasses()

In [5]: gamma = CG[2]

In [6]: g = gamma.Representative()

In [7]: CG; gamma; g
[ ()^G, (4,7)^G, (3,4,7)^G, (2,3)(4,7)^G, (2,3,4,7)^G, (1,2)(3,4,7)^G, (1,2,3,4,7)^G ]
(3,4,7)^G
(3,4,7)

Available as extras, from other distributions