Details

Autor(en) / Beteiligte

• Bieri, Robert
• Geoghegan, Ross
• Kochloukova, Dessislava

Titel

The Sigma invariants of Thompson’s group F

Ist Teil von

• Groups, geometry and dynamics, 2010-01, Vol.4 (2), p.263-273

Ort / Verlag

Zuerich, Switzerland: European Mathematical Society Publishing House

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Thompson’s group F is the group of all increasing dyadic PL homeomorphisms of the closed unit interval. We compute Σm(F) and Σm(F;ℤ), the homotopical and homological Bieri–Neumann–Strebel–Renz invariants of F, and show that Σm(F) = Σm(F;ℤ). As an application, we show that, for every m, F has subgroups of type Fm − 1 which are not of type FPm (thus certainly not of type Fm).