The power conjugacy problem in Higman–Thompson groups

Autor:	David M. Robertson, Nathan Barker, Andrew J. Duncan
Rok vydání:	2016
Předmět:	Discrete mathematics 021103 operations research General Mathematics Conjugacy problem 010102 general mathematics 0211 other engineering and technologies 02 engineering and technology Thompson groups 01 natural sciences Algebra Mathematics::Group Theory Universal algebra 0101 mathematics Mathematics
Zdroj:	International Journal of Algebra and Computation. 26:309-374
ISSN:	1793-6500 0218-1967
Popis:	An introduction to the universal algebra approach to Higman–Thompson groups (including Thompson’s group [Formula: see text]) 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 [26].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6803dbedfb8a873ce095d7fec9be23b4 https://doi.org/10.1142/s0218196716500144 Zobrazit plný text záznamu