A deformation-theoretic version of Maschke's theorem for modular group algebras: the commutative case

DOI10.1016/0021-8693(74)90114-8zbMath0275.20008OpenAlexW2090945007MaRDI QIDQ2265504

J. D. Donald, Francis J. Flanigan

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90114-8

Mathematics Subject Classification ID

Modular representations and characters (20C20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Deformations of associative rings (16S80)

Related Items (7)

On semisimple deformations of local semidihedral algebras ⋮ The modular version of Maschke's theorem for normal abelian \(p\)-Sylows ⋮ Deformation Methods and the Strong Unbounded Representation Type of p-Groups ⋮ 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 ⋮ Deformations of algebra modules

Cites Work

• Unnamed Item
• Deformations of algebra modules
• Lattices over orders I
• On the deformation of rings and algebras
• Cohomology and deformations in graded Lie algebras
• Straightening-Out and Semirigidity In Associative Algebras
• The Structure of the Group Ring of a p-Group Over a Modular Field

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