The Bestvina-Brady Construction Revisited: Geometric Computation of ∑-Invariants for Right-Angled Artin Groups

DOI10.1112/S0024610799007991zbMath1025.20026MaRDI QIDQ4487505

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Publication date: 22 June 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

generators\(\Sigma\)-invariantsfiniteness propertieslinksright-angled Artin groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (16)

Homology of even Artin kernels ⋮ Hyperbolic groups with almost finitely presented subgroups (with an appendix by Robert Kropholler and Federico Vigolo) ⋮ The Σ-invariants of 𝑆-arithmetic subgroups of Borel groups ⋮ Random subcomplexes of finite buildings, and fibering of commutator subgroups of right‐angled Coxeter groups ⋮ Coarse-median preserving automorphisms ⋮ Dehn functions of coabelian subgroups of direct products of groups ⋮ The BNSR-invariants of the Houghton groups, concluded ⋮ Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups. ⋮ The cohomology of Bestvina-Brady groups. ⋮ Symmetric automorphisms of free groups, BNSR-invariants, and finiteness properties ⋮ Toric complexes and Artin kernels ⋮ Sigma invariants of direct products of groups. ⋮ Graphical splittings of Artin kernels ⋮ Novikov homology of HNN-extensions and right-angled Artin groups. ⋮ Arrangements of hypersurfaces and Bestvina-Brady groups ⋮ Geometric structures related to the braided Thompson groups

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