On the supersolvable residual of an M-group

DOI10.1142/S0219498818501384zbMath1402.20019OpenAlexW2733050477MaRDI QIDQ4566074

Ping Jin, Huijuan Zheng

Publication date: 14 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501384

zbMATH Keywords

\(M\)-groupmonomial charactersupersolvable residuallinear limit

Mathematics Subject Classification ID

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

Related Items (1)

Connecting monomiality questions with the structure of rational group algebras

Cites Work

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• On \(M\)-groups with Sylow towers.
• Monomial characters and normal subgroups
• Primitive characters, normal subgroups, and M-groups
• \(M\)-groups of Fitting length three.
• Abelian normal subgroups of M-groups
• Extendible characters and monomial groups of odd order.
• M-groups and 2-groups
• M-groups and the supersolvable residual
• Nilpotent by Supersolvable M-Groups
• Characters of Solvable and Symplectic Groups
• Hall subgroups of $M$-groups need not be $M$-groups
• Monomiale Darstellung Endlicher Gruppen

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