A cohomological characterization of locally virtually cyclic groups

DOI10.1016/j.aim.2016.10.014zbMath1400.20053arXiv1506.06260OpenAlexW2963391055MaRDI QIDQ340429

Dieter Degrijse

Publication date: 14 November 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06260

zbMATH Keywords

Bredon cohomological dimensioncommensuratorslocally virtually cyclic groupsrelative ends

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Local properties of groups (20E25)

Related Items

Bredon homology of Artin groups of dihedral type, Groups acting on trees and the Eilenberg–Ganea problem for families, Equivariant dimensions of groups with operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commensurators and classifying spaces with virtually cyclic stabilizers
• \(\mathfrak F\)-structures and Bredon-Galois cohomology
• On the classifying space of the family of virtually cyclic subgroups
• The Bredon cohomology of subgroup complexes
• Relative ends and duality groups
• On the Lusternik-Schnirelmann category of abstract groups
• Bredon cohomological dimensions for groups acting on CAT(0)-spaces
• Baumslag-Solitar groups and some other groups of cohomological dimension two
• On dimensions in Bredon homology.
• An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilisers
• Intermediaries in Bredon (co)homology and classifying spaces
• On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
• Geometric dimension of groups for the family of virtually cyclic subgroups
• ON ALGEBRAIC AND GEOMETRIC DIMENSIONS FOR GROUPS WITH TORSION
• Accessibility and Groups of Cohomological Dimension One
• Groups of dimension 1 are locally free
• Equivariant cohomology theories
• Groups of cohomological dimension one