Finite solvable groups with at most two nonlinear irreducible characters of each degree.

DOI10.1016/J.JALGEBRA.2008.07.016zbMath1162.20007OpenAlexW2079794125MaRDI QIDQ958528

Guohua Qian, Hua Quan Wei, Yan Ming Wang

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.07.016

zbMATH Keywords

finite solvable groupsnonlinear irreducible charactersmultiplicities 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)

Related Items (6)

Groups which do not have four irreducible characters of degrees divisible by a prime \(p\) ⋮ Nonsolvable \(D_2\)-groups. ⋮ FINITE SOLVABLE GROUPS WITH DISTINCT MONOMIAL CHARACTER DEGREES ⋮ Finite groups in which distinct nonlinear irreducible characters have distinct codegrees ⋮ On the character tables of symmetric groups ⋮ Solvable \(D_2\)-groups

Cites Work

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• Suzuki 2-groups
• Finite nonsolvable groups in which only two nonlinear irreducible characters have equal degrees
• Finite solvable groups in which only two nonlinear irreducible characters have equal degrees
• Finite groups with almost distinct character degrees.
• Finite Groups in which the Degrees of the Nonlinear Irreducible Characters are Distinct
• Conjugacy Classes Outside a Normal Subgroup
• Complex group algebras of finite groups: Brauer’s Problem 1
• Endliche Gruppen I
• Fitting heights of solvable groups with few character degrees

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