Bestvina complex for group actions with a strict fundamental domain

DOI10.4171/GGD/581MaRDI QIDQ2035056

Tomasz Prytuła, Nansen Petrosyan

Publication date: 23 June 2021

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

Full work available at URL: https://arxiv.org/abs/1712.07606

zbMATH Keywords

classifying spacevirtual cohomological dimensioncomplex of groupsbuildingCoxeter systemBredon cohomological dimensionstandard development

Mathematics Subject Classification ID

Geometric group theory (20F65) Combinatorial aspects of simplicial complexes (05E45) Group actions on combinatorial structures (05E18)

Related Items

Graphical complexes of groups

Cites Work

• Dimension invariants for groups admitting a cocompact model for proper actions
• The cohomology of Bestvina-Brady groups.
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Simplicial nonpositive curvature
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Transformation groups and algebraic \(K\)-theory
• Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones
• Automorphisms of free groups and outer space
• On dimensions of groups with cocompact classifying spaces for proper actions
• ON ALGEBRAIC AND GEOMETRIC DIMENSIONS FOR GROUPS WITH TORSION
• Accessibility and Groups of Cohomological Dimension One
• On the virtual cohomological dimensions of Coxeter groups
• Higher Generation Subgroup Sets and the Virtual Cohomological Dimension of Graph Products of Finite Groups
• Dismantlability of weakly systolic complexes and applications
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