Twisted conjugacy in finitely generated groups
Organizers
Speaker
Peter Wong
Time
Wednesday, March 27, 2024 3:00 PM - 4:00 PM
Venue
A3-4-101
Online
Zoom 559 700 6085
(BIMSA)
Abstract
An infinite group G is said to have property $R_{\infty}$ if every automorphism $\varphi \in {\rm Aut}(G)$ has $R(\varphi)=\infty$ where $R(\varphi)$ denotes the cardinality of the set of orbits of the (left) action of G on G via $\sigma \cdot \alpha \mapsto \sigma \alpha \varphi(\sigma)^{-1}$. The study of (in)finiteness of $R(\varphi)$ has its origin in Nielsen fixed point theory. In this talk, I will give an overview of existing results on property $R_{\infty}$ together with some open questions.