English

Twisted conjugacy classes in R. Thompson's group F

Group Theory 2007-05-23 v2 Algebraic Topology

Abstract

In this short article, we prove that any automorphism of the R. Thompson's group FF has infinitely many twisted conjugacy classes. The result follows from the work of Matthew Brin, together with a standard facts on R. Thompson's group FF, and elementary properties of the Reidemeister numbers.

Keywords

Cite

@article{arxiv.0704.3411,
  title  = {Twisted conjugacy classes in R. Thompson's group F},
  author = {Collin Bleak and Alexander Fel'shtyn and Daciberg L. Gonçalves},
  journal= {arXiv preprint arXiv:0704.3411},
  year   = {2007}
}

Comments

10 pages