Two results related to the solvability of M-groups.

DOI10.1016/j.jalgebra.2010.03.017zbMath1198.20010OpenAlexW1970333629MaRDI QIDQ975114

Guohua Qian

Publication date: 8 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.03.017

zbMATH Keywords

finite groupssolvabilityirreducible characterslinear charactersM-groupsprimitive characters

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 (6)

Nonsolvable groups with no prime dividing four character degrees ⋮ Nonsolvable normal subgroups and irreducible character degrees. ⋮ A generalization of Taketa’s theorem on M-groups ⋮ Nonsolvable groups with few primitive character degrees ⋮ Nonsolvable Normal Subgroups with Few Induced Character Degrees ⋮ Finite Groups Whose Common-Divisor Graph is Regular

Cites Work

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• Subgroups of prime power index in a simple group
• Extending the Steinberg representation
• On the minimal degrees of characters of \(S_n\)
• Imprimitive irreducible complex characters of the symmetric group
• On the Taketa theorem
• Generalizations of Taketa's Theorem on the Solvability of M-Groups
• Character degree graphs that are complete graphs
• Imprimitive, Irreducible Complex Characters of the Alternating Group
• Generalizations of M-Groups

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