Group homomorphisms inducing isomorphisms of cohomology

DOI10.1016/0040-9383(78)90035-6zbMath0392.20033OpenAlexW2032891020MaRDI QIDQ1251724

Stefan Jackowski

Publication date: 1978

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(78)90035-6

zbMATH Keywords

Completed Representation RingFusion of P-ElementsGroup Homomorphisms Inducing Isomorphisms of CohomologyHall SubgroupIntegral CohomologyIrreducible Complex RepresentationsNormal Complements in Finite Solvable Groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (9)

Group automorphisms inducing the identity map on cohomology ⋮ Unnamed Item ⋮ Vector bundles over classifying spaces of compact Lie groups ⋮ Unstable homotopy classification of ⋮ Group cohomology and control of \(p\)-fusion. ⋮ Group homomorphisms inducing an isomorphism of a functor ⋮ Rational computations of the topological K-theory of classifying spaces of discrete groups ⋮ Group homomorphisms inducing isomorphisms in cohomology ⋮ Homomorphisms inducing isomorphisms in Lie algebra cohomology

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