REDUCTION THEOREMS FOR THE BRAUER CONJECTURE ON THE NUMBER OF CHARACTERS IN Ap-BLOCK

DOI10.1070/SM1992V071N01ABEH001397zbMath0745.20011OpenAlexW2052482486WikidataQ123021238 ScholiaQ123021238MaRDI QIDQ4000553

P. G. Gres'

Publication date: 26 September 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1992v071n01abeh001397

zbMATH Keywords

finite groupsCartan matrixirreducible Brauer charactersdefect group\(p\)-blockBrauer's conjecturenumber of irreducible complex charactersfinite \(p\)-solvable groupFong's reductionHall \(p\)-sup(')- subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

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