A remark on the character-degrees of some \(p\)-groups

DOI10.1007/BF01197044zbMath0819.20008MaRDI QIDQ1203566

Bertram Huppert

Publication date: 10 February 1993

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

zbMATH Keywords

degrees of irreducible charactersfinite solvable groups\(p\)-groupsderived lengthnumber of character degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (10)

On the \(U\)-module structure of the unipotent Specht modules of finite general linear groups. ⋮ On heights of characters of finite groups ⋮ Enumerating classes and characters of 𝑝-groups ⋮ Combinatorial methods of character enumeration for the unitriangular group. ⋮ Monoidal categories, representation gap and cryptography ⋮ Representation zeta functions of wreath products with finite groups. ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups. ⋮ Unitriangular actions on quadratic forms and character degrees. ⋮ An elementary method for the calculation of the set of character degress of some \(p\)-groups. ⋮ Character degrees and nilpotence class of finite 𝑝-groups: An approach via pro-𝑝 groups

Cites Work

• Endliche Gruppen I
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