passagemath-gap

============================================================================= passagemath: Computational Group Theory with GAP

About SageMath

"Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB"

Copyright (C) 2005-2024 The Sage Development Team

https://www.sagemath.org

SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable distribution

This pip-installable distribution passagemath-gap is a small distribution that provides modules that depend on the GAP system <https://www.gap-system.org>_.

What is included

• Cython interface to libgap <https://doc.sagemath.org/html/en/reference/libs/sage/libs/gap/libgap.html>_

• Pexpect interface to GAP <https://doc.sagemath.org/html/en/reference/interfaces/sage/interfaces/gap.html>_

• numerous modules with build-time dependencies on GAP, see MANIFEST <https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-gap/MANIFEST.in>_

• the binary wheels on PyPI ship a prebuilt copy of GAP

Examples

A quick way to try it out interactively::

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-gap[test]" IPython

In [1]: from sage.all__sagemath_modules import *

In [2]: from sage.all__sagemath_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)