On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups

DOI10.1090/S0002-9939-2013-11679-5zbMath1341.55006arXiv1104.0588OpenAlexW2169144387MaRDI QIDQ2846902

Brita E. A. Nucinkis, Martin G. Fluch

Publication date: 4 September 2013

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

Full work available at URL: https://arxiv.org/abs/1104.0588

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05)

Related Items (4)

A cohomological characterization of locally virtually cyclic groups ⋮ Complete Bredon cohomology and its applications to hierarchically defined groups ⋮ On the virtually cyclic dimension of mapping class groups of punctured spheres ⋮ Intermediaries in Bredon (co)homology and classifying spaces

Cites Work

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• The Bredon cohomology of subgroup complexes
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• Classifying spaces with virtually cyclic stabilisers for certain infinite cyclic extensions.
• Cohomological dimension of soluble groups
• Transformation groups and algebraic \(K\)-theory
• On groups of type \((FP)_\infty\)
• Proper group actions and the Baum-Connes conjecture
• The type of the classifying space for a family of subgroups
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• A spectral sequence in Bredon (co)homology
• Intermediaries in Bredon (co)homology and classifying spaces
• Relative hyperbolicity, classifying spaces, and lower algebraic \(K\)-theory
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• Cohomological finiteness conditions in Bredon cohomology
• Cohomological finiteness conditions for elementary amenable groups
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