dmrobertson/thompsons_v

The thompson package: Python~3.3+ classes for computing with with elements of the Higman-Thompson groups G_{n,r}

Nathan Barker, Andrew Duncan and David Robertson are currently preparing a paper entitled The power conjugacy problem in Higman-Thompson groups which describes an algorithm to solve a certain equation in the groups named $G_{n,r}$.

This package aims to implement the algorithms described in the paper. To do so it provides tools for working in

• the algebra $V_{n,r}$, a certain set of words, and
• the automorphism group $G_{n,r} = \Aut V_{n,r}$.

Installation

Either clone the repository with

git clone https://github.com/DMRobertson/thompsons_v.git

or download the ZIPped version and extract it. For more detailed instructions, see the documentation.

Documentation

Documentation is automatically built by Read the Docs. For a brief introduction see [the demo notebook](Thompson example.ipynb).

The HTML documentation is generated using Sphinx. To build, ensure that Sphinx is installed (pip install sphinx), then navigate to the docs folder and run make html. More interestingly, I'm using Sphinx's doctest extension to run some simple automated tests. To use it, ensure Sphinx is installed and run make doctest from the docs directory.