On the group cohomology of the semi-direct product \(\mathbb Z^n\rtimes_\rho\mathbb Z/m\) and a conjecture of Adem-Ge-Pan-Petrosyan.

DOI10.1016/j.jpaa.2011.12.004zbMath1278.20072arXiv1105.4772OpenAlexW2029275659WikidataQ123259234 ScholiaQ123259234MaRDI QIDQ456819

Martin Langer, Wolfgang Lück

Publication date: 16 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4772

zbMATH Keywords

Lyndon-Hochschild-Serre spectral sequenceAdem-Ge-Pan-Petrosyan conjectureTate cohomology of semi-direct products

Mathematics Subject Classification ID

Cohomology of groups (20J06) Equivariant (K)-theory (19L47) Serre spectral sequences (55T10)

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Cites Work

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• Erratum to ``\(C^\ast\)-algebras associated with integral domains and crossed products by actions on adele spaces
• Compatible actions and cohomology of crystallographic groups.
• Schur functors and Schur complexes
• Computations of \(K\)- and \(L\)-theory of cocompact planar groups
• The spectral sequence of a split extension and the cohomology of an extraspecial group of order \(p^ 3\) and exponent \(p\)
• The Wall Finiteness Obstruction for a Fibration
• Z/pZ Actions on (S n ) k
• Toroidal orbifolds, gerbes and group cohomology
• Characteristic Classes for Modules Over Groups. I
• Introduction to Algebraic K-Theory. (AM-72)