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Type: Artigo de periódico
Title: The Sigma invariants of Thompson's group F
Author: Bieri, R
Geoghegan, R
Kochloukova, DH
Abstract: Thompson's group F is the group of all increasing dyadic PL homeomorphisms of the closed unit interval. We compute Sigma(m)(F) and Sigma(m)(F;Z), the homotopical and homological Bieri-Neumann-Strebel-Renz invariants of F, and show that Sigma(m)(F) = Sigma(m)(F;Z). As an application, we show that, for every m, F has subgroups of type F(m-1) which are not of type FP(m) (thus certainly not of type F(m)).
Subject: Thompson's group
finiteness properties
homological and homotopical Sigma invariants
Country: Suíça
Editor: European Mathematical Soc
Rights: aberto
Identifier DOI: 10.4171/GGD/83
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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