Some character degree conditions implying solvability of finite groups.

DOI10.1007/S10468-011-9328-9zbMATH Open1277.20009OpenAlexW2058139655MaRDI QIDQ1956352

Kamal Aziziheris

Publication date: 13 June 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-011-9328-9

zbMATH Keywords

finite groupssolvabilityirreducible complex characterscharacter degreessolvable groupsalmost simple groupscharacter degree sets

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)

Cites Work

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• Bounding the derived length for a given set of character degrees.
• Determining group structure from the sets of character degrees.
• Degree-problems. I: Squarefree character degrees
• Extending the Steinberg representation
• Determining group structure from sets of irreducible character degrees
• Irreducible character degrees and normal subgroups
• Nonsolvable groups with few character degrees.
• A direct product coming from a particular set of character degrees
• A note on character degrees of finite groups
• Nonsolvable groups with no prime dividing three character degrees.

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