Brauer Characters of Prime Power Degrees and Conjugacy Classes of Prime Power Lengths

DOI10.1142/S1005386710000519zbMath1206.20012MaRDI QIDQ3162642

Pham Hũ'u Tiêp, Wolfgang Willems

Publication date: 20 October 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1704/S1005386710000519.html

zbMATH Keywords

finite groupssolvabilityBrauer characterscharacter degreesconjugacy class lengthsquasisimple groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (4)

Linear p- Brauer characters and p-blocks ⋮ Finite groups whose irreducible Brauer characters have prime power degrees. ⋮ On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. ⋮ \(p\)-parts of Brauer character degrees.

Cites Work

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• Rank 3 permutation modules of the finite classical groups.
• Irreducible \(p\)-Brauer characters of \(p\)-power degree for the symmetric and alternating groups.
• Blocks with 𝑝-power character degrees
• Endliche Gruppen I
• The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups
• Prime power degree representations of quasi-simple groups

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