Lookup NU author(s): Dr Andrew Duncan,
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
An introduction to the universal algebra approach to Higman-Thompson groups (including Thompson's group V) is given, following a series of lectures by Graham Higman in 1973. In these talks, Higman outlined an algorithm for the conjugacy problem; which although essentially correct fails in certain cases, as we show here. A revised and complete version of the algorithm is written out explicitly. From this, we construct an algorithm for the power conjugacy problem in these groups. Python implementations of these algorithms can be found in .
Author(s): Barker N, Duncan AJ, Robertson DM
Publication type: Article
Publication status: Published
Journal: International Journal of Algebra and Computation
Online publication date: 09/03/2016
Acceptance date: 18/01/2016
Date deposited: 26/05/2016
ISSN (print): 0218-1967
ISSN (electronic): 1793-6500
Publisher: World Scientific Publishing Co. Pte. Ltd.
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