Solvable groups with \(p\)-modular character degrees of prime power

DOI10.1007/BF01198470zbMath0802.20009MaRDI QIDQ1173871

Udo Leisering

Publication date: 25 June 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

character degreessolvable groupsderived lengthnilpotent length\(p\)-modular character degrees

Mathematics Subject Classification ID

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 (2)

Finite groups whose irreducible Brauer characters have prime power degrees. ⋮ On the modular version of Huppert's \(\rho\)-\(\sigma\) conjecture

Cites Work

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• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• Brauer characters of q'-degree in p-solvable groups
• The automorphism group of an extraspecial \(p\)-group
• On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order
• Half-Transitive Automorphism Groups

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