Geometric dimension of groups for the family of virtually cyclic subgroups

DOI10.1112/jtopol/jtt045zbMath1344.20056arXiv1204.3482OpenAlexW1995956985MaRDI QIDQ2921095

Nansen Petrosyan, Dieter Degrijse

Publication date: 30 September 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3482

zbMATH Keywords

classifying spacesvirtually cyclic groupscommensuratorsgeometric dimensionelementary amenable groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Residual properties and generalizations; residually finite groups (20E26) Other matrix groups over fields (20H20)

Related Items (12)

A cohomological characterization of locally virtually cyclic groups ⋮ On dimensions of groups with cocompact classifying spaces for proper actions ⋮ Commensurators and classifying spaces with virtually cyclic stabilizers ⋮ Centralizers in Houghton’s Groups ⋮ Bredon homology of Artin groups of dihedral type ⋮ Complete Bredon cohomology and its applications to hierarchically defined groups ⋮ Bredon cohomological dimensions for groups acting on CAT(0)-spaces ⋮ Groups acting on trees and the Eilenberg–Ganea problem for families ⋮ Dimension rigidity of lattices in semisimple Lie groups ⋮ On the virtually cyclic dimension of mapping class groups of punctured spheres ⋮ On the finiteness of the classifying space for the family of virtually cyclic subgroups ⋮ Classifying spaces with virtually cyclic stabilizers for linear groups

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