Conjugacy Languages in Groups

  title={Conjugacy Languages in Groups},
  author={Susan M. Hermiller and Derek F. Holt and Sarah Rees},
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… CONTINUE READING