Groups with Four Character Degrees and Derived Length Four

DOI10.1080/00927872.2014.934461zbMath1338.20005OpenAlexW1773010467MaRDI QIDQ3448534

Mark L. Lewis, Ni Du

Publication date: 26 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.934461

zbMATH Keywords

finite groupsFrattini subgroupsirreducible characterscharacter degreessolvable groupsderived lengthsFitting lengthsFitting groups

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Cites Work

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• Derived lengths of solvable groups having five irreducible character degrees. II.
• Character theory of finite groups
• Determining group structure from sets of irreducible character degrees
• The Magma algebra system. I: The user language
• Irreducible character degrees and normal subgroups
• Groups having three complex irreducible character degrees
• Nonsolvable groups with few character degrees.
• Solvable groups whose degree graphs have two connected components
• Coprime Group Actions Fixing All Nonlinear Irreducible Characters
• Large orbits in actions of nilpotent groups
• A note on character degrees of finite groups
• Half-Transitive Automorphism Groups
• Endliche Gruppen I
• Fitting heights of solvable groups with few character degrees
• Derived lengths of solvable groups having five irreducible character degrees. I.

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