Conjugacy languages in groups
Laura Ciobanu, Susan Hermiller, Derek Holt, and Sarah Rees
Keywords
conjugacy problem, geodesics, formal languages
Status
Published in Israel J. Math. 211 (2015) 311--347.
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 \wsphcl \ in virtually cyclic groups, proving one
direction of a conjecture of Rivin.
\bigskip
\noindent 2010 Mathematics Subject Classification: 20F65, 20E45; 20F67, 20F36.
\noindent Key words: Conjugacy growth, regular languages,
word hyperbolic groups, Artin groups, Garside groups.
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