The sigma invariants of Thompson's group \(F\).

DOI10.4171/GGD/83zbMath1214.20048arXiv0807.5138OpenAlexW2963536573MaRDI QIDQ965089

Robert Bieri, Dessislava H. Kochloukova, Ross Geoghegan

Publication date: 21 April 2010

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.5138

zbMATH Keywords

geometric invariantsThompson group \(F\)homological invariantsBieri-Neumann-Strebel invariantsgroups of type \(\text{FP}_n\)homotopical invariants

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10) Eilenberg-Mac Lane spaces (55P20) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

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Cites Work

• Sigma invariants of direct products of groups.
• Topological properties of \(\operatorname{SL}_2\) actions on the hyperbolic plane
• Connectivity properties of group actions on non-positively curved spaces
• Unnamed Item

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