\(p^ *\)-theory and modular representation theory

DOI10.1016/0021-8693(86)90243-7zbMath0618.20007OpenAlexW2086910857MaRDI QIDQ1089092

Wolfgang Willems

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90243-7

zbMATH Keywords

group algebracharacteristic subgroupp-subgroups\(p^ *\)-groupgeneralized p'-coreprimitive central idempotentprincipal b-block

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Trivial intersection of blocks and nilpotent subgroups ⋮ Principal blocks for different primes. I ⋮ Brauer's height zero conjecture for two primes holds true ⋮ Brauer's height zero conjecture for principal blocks ⋮ The principal block idempotent ⋮ A note on the support of block idempotents

Cites Work

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• Quotients, Cartan matrices and Morita equivalent blocks
• On the \(p\)-deficiency class of a finite group
• Finite simple groups of Lie type have non-principal p-blocks, p\(\neq 2\)
• On the normal p-structure of a finite group and related topics. I
• On p-chief factors of finite groups
• On a theorem of Brauer

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