Twisted conjugacy classes for polyfree groups

Alexander Fel'shtyn; Daciberg Gonçalves; Peter Wong

Twisted conjugacy classes for polyfree groups

Group Theory 2015-03-13 v3 Geometric Topology

Authors: Alexander Fel'shtyn , Daciberg Gonçalves , Peter Wong

Abstract

Let $G$ be a finitely generated polyfree group. If $G$ has nonzero Euler characteristic then we show that $Aut(G)$ has a finite index subgroup in which every automorphism has infinite Reidemeister number. For certain $G$ of length 2, we show that the number of Reidemeister classes of every automorphism is infinite.

Keywords

automorphism groups conjugacy classes in groups group theory

Cite

@article{arxiv.0802.2937,
  title  = {Twisted conjugacy classes for polyfree groups},
  author = {Alexander Fel'shtyn and Daciberg Gonçalves and Peter Wong},
  journal= {arXiv preprint arXiv:0802.2937},
  year   = {2015}
}

Comments

11 pages

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