Cohomological characterisations of finite solvable and nilpotent groups

DOI10.1016/0022-4049(77)90058-5zbMath0374.20060OpenAlexW1985637435MaRDI QIDQ1245315

Urs Stammbach

Publication date: 1978

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(77)90058-5

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (16)

Invariable generation of prosoluble groups. ⋮ A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are \(d\)-generated ⋮ On the cohomology of restricted lie algebras ⋮ Invariable generation of iterated wreath products of cyclic groups ⋮ Generating wreath products and their augmentation ideals ⋮ Split abelian chief factors and first degree cohomology for Lie algebras ⋮ Chief factors of finite groups with order a multiple of_p ⋮ Invariable generation with elements of coprime prime-power orders. ⋮ The generation of the augmentation ideal in profinite groups. ⋮ Geometric coverings of groups and their directions ⋮ On the cohomology of finite groups with simple coefficients ⋮ Split chief factors and cohomology ⋮ Groups satisfying a strong complement property ⋮ On the principal indecomposables of a modular group algebra ⋮ Coprime invariable generation and minimal-exponent groups. ⋮ An upper bound on the Chebotarev invariant of a finite group

Cites Work

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• On the principal indecomposables of a modular group algebra
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• Cohomological topics in group theory.
• Blocks and F-class algebras of finite groups
• Some applications of the theory of blocks of characters of finite groups. I
• A cohomological criterion for p-nilpotence
• The Nontrivality of the Restriction Map in the Chomology of Groups
• A note on the modular representations of solvable groups.
• On a Theorem of Fong and Gaschötz
• Endliche Gruppen I

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