A note on the number of irreducible characters in a p-block of a finite group

zbMath0538.20007MaRDI QIDQ793148

Masafumi Murai

Publication date: 1984

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

defect groupp-solvable groupsprincipal p-blockFrobenius conjectureBrauer's conjectureJordan's theoremnumber of irreducible modular characterssectional p-rank

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items (5)

Problems on characters: solvable groups ⋮ A generalization of Murai's conjecture ⋮ On Brauer's \(k(B)\) problem ⋮ Notes on \(p\)-blocks of characters of finite groups ⋮ A note on the number of irreducible characters in a p-block with normal defect group

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