Brauer characters of q'-degree in p-solvable groups

DOI10.1016/0021-8693(88)90283-9zbMath0651.20004OpenAlexW2088049549MaRDI QIDQ1106317

Thomas R. Wolf, Olaf Manz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90283-9

zbMATH Keywords

irreducible Brauer charactersp-lengthfinite p-solvable groupSylow-q- subgroups

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)

Related Items

Finite groups with small conjugacy classes ⋮ On Alperin's lower bound for the number of Brauer characters ⋮ Irreducible characters of even degree and normal Sylow 2-subgroups ⋮ Brauer characters of $q’$- degree ⋮ Solvable groups with \(p\)-modular character degrees of prime power ⋮ Finite groups in which \(p'\)-classes have \(q'\)-length ⋮ Brauer character degrees and Sylow normalizers

Cites Work

• Sylow-p-subgroups of p-solvable subgroups of GL(n,p)
• Defect groups and character heights in blocks of solvable groups. II
• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• Defect groups and character heights in blocks of solvable groups
• Brauer's Height Conjecture for p-Solvable Groups
• On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• Trivial Set-Stabilizers in Finite Permutation Groups
• Endliche Gruppen I
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