Module garoupa.algebra

Abstract algebra groups

This module was useful while studying alternative groups before sticking with UT(n,p). It is kept here in the hope someone find it useful. However, it is not the focus of this package. Some classes require 'poetry install -E full' to add numpy or other heavy dependencies.

Expand source code
#  Copyright (c) 2021. Davi Pereira dos Santos
#  This file is part of the garoupa project.
#  Please respect the license - more about this in the section (*) below.
#
#  garoupa is free software: you can redistribute it and/or modify
#  it under the terms of the GNU General Public License as published by
#  the Free Software Foundation, either version 3 of the License, or
#  (at your option) any later version.
#
#  garoupa is distributed in the hope that it will be useful,
#  but WITHOUT ANY WARRANTY; without even the implied warranty of
#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
#  GNU General Public License for more details.
#
#  You should have received a copy of the GNU General Public License
#  along with garoupa.  If not, see <http://www.gnu.org/licenses/>.
#
#  (*) Removing authorship by any means, e.g. by distribution of derived
#  works or verbatim, obfuscated, compiled or rewritten versions of any
#  part of this work is illegal and is unethical regarding the effort and
#  time spent here.

"""Abstract algebra groups

This module was useful while studying alternative groups before sticking with UT(n,p).
It is kept here in the hope someone find it useful.
However, it is not the focus of this package.
Some classes require 'poetry install -E full' to add numpy or other heavy dependencies.
"""

Sub-modules

garoupa.algebra.abs

Abstract classes

garoupa.algebra.cyclic

Groups and respective elements that can be cyclic depending on the parameter choice

garoupa.algebra.dihedral

Dihedral group and respective elements

garoupa.algebra.math

Operations with permutations

garoupa.algebra.matrix

Some matrix group and respective elements

garoupa.algebra.npmath

Operations using numpy

garoupa.algebra.product

Direct product group and respective element

garoupa.algebra.symmetric

Symmetric ('permutation') group and respective element