Twisted Conjugacy Classes in R. Thompson’s Group F

Authors

Collin Bleak, University of Nebraska
Alexander Fel'shtyn, Boise State University
Daciberg L. Gonçalves, Department de Matemática, IME, USP

Document Type

Article

Publication Date

11-1-2008

Abstract

In this article, we prove that any automorphism of R. Thompsons group F has infinitely many twisted conjugacy classes. The result follows from the work of Brin, together with standard facts about R. Thompsons group F, and elementary properties of the Reidemeister numbers.

Publication Information

Bleak, Collin; Fel'shtyn, Alexander; and Gonçalves, Daciberg L.. (2008). "Twisted Conjugacy Classes in R. Thompson’s Group F". Pacific Journal of Mathematics, 238(1), 1-6. https://doi.org/10.2140/pjm.2008.238.1