Defect groups and character heights in blocks of solvable groups. II

DOI10.1016/0021-8693(84)90168-6zbMath0534.20003OpenAlexW4251308935MaRDI QIDQ790238

Thomas R. Wolf, David Gluck

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90168-6

zbMATH Keywords

character heightscharacter degreesirreducible characterdefect groupBrauer conjecturederived length of Sylow subgroupsp-blockSylow p- subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items

Finite groups with small conjugacy classes, Solvable groups character degrees and sets of primes, Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups, Primes Dividing Character Degrees and Character Orbit Sizes, Representations of finite groups, Brauer's height zero conjecture for the 2-blocks of maximal defect, Brauer characters of q'-degree in p-solvable groups, Characters of relative \(p^\prime\)-degree over normal subgroups, Character heights and \(p\)-length in blocks of \(p\)-solvable groups., Hall subgroups and fully extendible characters, Groups whose Projective character degrees are powers of a prime, A conjecture about character degrees of solvable groups, Representation of finite groups: conjectures, reductions, and applications., PROJECTIVE CHARACTERS WITH PRIME POWER DEGREES, Arithmetic results on orbits of linear groups, Projective characters of odd degree

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