A group-theoretic consequence of the Donald-Flanigan conjecture

DOI10.1006/jabr.1994.1156zbMath0805.16030OpenAlexW2093153542WikidataQ123013288 ScholiaQ123013288MaRDI QIDQ1330056

Murray Gerstenhaber, David J. Green

Publication date: 17 August 1994

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1156

zbMATH Keywords

group algebracentralizerfinite groupsemisimple algebraHochschild cohomology groupDonald-Flanigan conjecturenormal subgroup of index \(p\)

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Deformations of associative rings (16S80)

Related Items (3)

Hecke algebras, 𝑈_{𝑞}𝑠𝑙_{𝑛}, and the Donald-Flanigan conjecture for 𝑆_{𝑛} ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Finite groups have local non-Schur centralizers

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