Fixed points of finite groups acting on generalised Thompson groups
Group Theory
2010-02-10 v1
Abstract
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.
Cite
@article{arxiv.1002.1866,
title = {Fixed points of finite groups acting on generalised Thompson groups},
author = {D. H. Kochloukova and C. Martínez-Pérez and B. E. A. Nucinkis},
journal= {arXiv preprint arXiv:1002.1866},
year = {2010}
}
Comments
20 pages