Coprime actions and degrees of primitive inducers of invariant characters

DOI10.1017/S0004972700039976zbMath0998.20011OpenAlexW2023699872MaRDI QIDQ2758194

Lucia Sanus, Alexander Moretó

Publication date: 22 August 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039976

zbMATH Keywords

finite solvable groupsirreducible complex characterscharacter degreesfinite nilpotent groupscoprime actionsprimitive characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

\(M\)-groups of Fitting length three. ⋮ An answer to two questions of Brewster and Yeh on \(M\)-groups. ⋮ The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ ⋮ Primitive inducing pairs for irreducible characters

Cites Work

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• Characters of \(\pi\)-separable groups
• Monomial characters and normal subgroups
• Character correspondences and irreducible induction and restriction
• Invariant characters and coprime actions on finite nilpotent groups

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