Artículos de revistas
The Sigma invariants of Thompson's group F
Registro en:
Groups Geometry And Dynamics. European Mathematical Soc, v. 4, n. 2, n. 263, n. 273, 2010.
1661-7207
WOS:000275193000003
10.4171/GGD/83
Autor
Bieri, R
Geoghegan, R
Kochloukova, DH
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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)). 4 2 263 273 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)