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|Type:||Artigo de periódico|
|Title:||The Sigma invariants of Thompson's group F|
|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)).|
homological and homotopical Sigma invariants
|Editor:||European Mathematical Soc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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