The modular version of Maschke's theorem for normal abelian \(p\)-Sylows

DOI10.1016/0022-4049(95)00047-XzbMath0849.16031OpenAlexW2065851085MaRDI QIDQ1917392

Murray Gerstenhaber, Mary Elizabeth Schaps

Publication date: 4 November 1996

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(95)00047-x

zbMATH Keywords

group algebrasfinite groupsmatrix algebrassemidirect productsgroup of automorphismsseparable algebrasDonald-Flanigan conjecturenormal Abelian Sylow \(p\)-subgroupseparable deformations

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Deformations of associative rings (16S80)

Related Items

A separable deformation of the quaternion group algebra ⋮ Hecke algebras, 𝑈_{𝑞}𝑠𝑙_{𝑛}, and the Donald-Flanigan conjecture for 𝑆_{𝑛} ⋮ Separable deformations of the generalized quaternion group algebras ⋮ Extension of Maschke’s theorem

Cites Work

• Relative Hochschild cohomology, rigid algebras, and the Bockstein
• A modular version of Maschke's theorem for groups with cyclic \(p\)-Sylow subgroups
• A deformation-theoretic version of Maschke's theorem for modular group algebras: the commutative case
• The cohomology structure of an associative ring
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