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Type: Artigo de periódico
Title: Fixed points of finite groups acting on generalised Thompson groups
Author: Kochloukova, DH
Martinez-Perez, C
Nucinkis, BEA
Abstract: We study centralisers of finite order automorphisms of the generalised Thompson groups F (n,a) and conjugacy classes of finite subgroups in finite extensions of F (n,a). In particular, we show that centralisers of finite automorphisms in F (n,a) are either of type FPa or not finitely generated. As an application we deduce the following result about the Bredon type of such finite extensions: any finite extension of F (n,a), where the elements of finite order act on F (n,a) via conjugation with piecewise-linear homeomorphisms, is of type Bredon F-a. In particular, finite extensions of F = F (2,a) are of type Bredon F (a) .
Country: Israel
Editor: Hebrew Univ Magnes Press
Citation: Israel Journal Of Mathematics. Hebrew Univ Magnes Press, v. 187, n. 1, n. 167, n. 192, 2012.
Rights: fechado
Identifier DOI: 10.1007/s11856-011-0079-4
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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