Abstract

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

Keywords

Reidemeister number, twisted conjugacy class, R. Thompson's group F, R_∞ property

Mathematical Subject Classification

Primary: 20E45, 37C25, 55M20

Authors