Sigma invariants of direct products of groups.

DOI10.4171/GGD/82zbMath1214.20047arXiv0808.0013MaRDI QIDQ965088

Ross Geoghegan, Robert Bieri

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/0808.0013

zbMATH Keywords

finitely generated groupsgeometric invariantsproducts of groupsThompson group \(F\)homological invariantsBieri-Neumann-Strebel invariantsgroups of type \(\text{FP}_n\)homotopical invariantsproduct conjecture

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Eilenberg-Mac Lane spaces (55P20)

Related Items (14)

On the Bieri-Neumann-Strebel-Renz \(\Sigma\)-invariants of the Bestvina-Brady groups ⋮ The BNSR-invariants of the Lodha–Moore groups, and an exotic simple group of type ⋮ On weak commutativity in groups ⋮ Higher dimensional algebraic fiberings of group extensions ⋮ A relationship between twisted conjugacy classes and the geometric invariants \(\Omega^n\). ⋮ On the Bieri-Neumann-Strebel-Renz invariants of the weak commutativity construction \(\mathfrak{X}(G)\) ⋮ On the \(\Sigma^2\)-invariants of the generalised R. Thompson groups of type \(F\). ⋮ On the \(\sigma\)-invariants of wreath products ⋮ The geometric invariants of certain group extensions with applications to twisted conjugacy. ⋮ Fixed points of finite groups acting on generalised Thompson groups. ⋮ The sigma invariants of Thompson's group \(F\). ⋮ Higher horospherical limit sets for G-modules over CAT(0)-spaces ⋮ On the Bieri–Neumann–Strebel–Renz invariants of residually free groups ⋮ On the sigma-invariants of even Artin groups of FC-type

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• The Bestvina-Brady Construction Revisited: Geometric Computation of ∑-Invariants for Right-Angled Artin Groups
• Connectivity properties of group actions on non-positively curved spaces
• On the \(\Sigma\)-invariants of Artin groups.

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