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arXiv · 0805.1371

The geometry of twisted conjugacy classes in wreath products

Jennifer Taback·Peter Wong
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Abstract

We give a geometric proof based on recent work of Eskin, Fisher and Whyte that the lamplighter group $L_n$ has infinitely many twisted conjugacy classes for any automorphism $\vp$ only when $n$ is divisible by 2 or 3, originally proved by Gonçalves and Wong. We determine when the wreath product $G \wr \Z$ has this same property for several classes of finite groups $G$, including symmetric groups and some nilpotent groups.

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Jennifer Taback, Peter Wong. 2008-05-16. The geometry of twisted conjugacy classes in wreath products. https://arxiv.org/abs/0805.1371

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