Relative cohomology of finite groups and polynomial growth

DOI10.1016/0022-4049(94)90036-1zbMath0823.20049OpenAlexW2037337936MaRDI QIDQ1343757

Daniel G. Brown

Publication date: 9 March 1995

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

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90036-1

zbMATH Keywords

polynomial growthspectral sequencespermutation representationscup productsstabilizer subgroupsBlowers' resolutioncollections of subgroupsrelative cohomology ringsrelatively projective resolutions

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Spectral sequences, hypercohomology (18G40) Cohomology of groups (20J06) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items

Unnamed Item, The relative Heller operator and relative cohomology for the Klein 4-group, Homology stability for unitary groups. II., Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation, Levi decompositions of a linear algebraic group., Tilings and submonoids of metabelian groups., Twisted Alexander polynomials detect fibered 3-manifolds, On the finite generation of relative cohomology for Lie superalgebras, Homology of \(\mathrm{GL}_n\): injectivity conjecture for \(\mathrm{GL}_{4}\), Cohomological dimension, self-linking, and systolic geometry, Continuity of discrete homomorphisms of diffeomorphism groups, Uniformly finite homology and amenable groups

Cites Work

• Inflation and deflation for all dimensions
• Spectral Sequences and Frobenius Groups
• Generalized group homology
• The Cohomology Rings of Certain Finite Permutation Representations
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