Conjugacy languages in groups
Group Theory
2014-01-29 v1
Abstract
We study the regularity of several languages derived from conjugacy classes in a finitely generated group G for a variety of examples including word hyperbolic, virtually abelian, Artin, and Garside groups. We also determine the rationality of the growth series of the shortlex conjugacy language in virtually cyclic groups, proving one direction of a conjecture of Rivin.
Keywords
Cite
@article{arxiv.1401.7203,
title = {Conjugacy languages in groups},
author = {Laura Ciobanu and Susan Hermiller and Derek Holt and Sarah Rees},
journal= {arXiv preprint arXiv:1401.7203},
year = {2014}
}
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29 pages