Fixed points of finite groups acting on generalised Thompson groups

Details Fixed points of finite groups acting on generalised Thompson groups Fixed points of finite groups acting on generalised Thompson groups

2010-02-09

arxiv.org/abs/1002.1866v1

Mathematics

Group Theory

20 pages

Scientific paper

We study centralisers of finite order automorphisms of generalisations of Thompson's group F and conjugacy classes of finite subgroups in finite extensions of these groups. In particular, we show that centralisers of finite automorphisms in these generalised Thompson groups either admit a finite type classifying space or are not finitely generated. As an application we deduce results about the Bredon type of such finite extensions.

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