On conjectures of Olsson, Brauer, and Alperin

DOI10.1007/BF01247644zbMath0787.20008WikidataQ123222524 ScholiaQ123222524MaRDI QIDQ1206232

P. G. Gres'

Publication date: 1 April 1993

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

defect group\(p\)-block\(p\)-solvable groupconjecture of Brauernumber of complex irreducible characters of height zeroOlsson's conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (1)

\(\pi\)-forms of Brauer's \(k(B)\)-conjecture and Olsson's conjecture.

Cites Work

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• On the number of characters in blocks of finite general linear, unitary and symmetric groups
• On the number of characters in a \(p\)-block of a \(p\)-solvable group
• On the k(GV) problem
• A note on the number of irreducible characters in a p-block with normal defect group

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