Some solvable character degree sets

DOI10.1080/00927872.2016.1262389zbMath1378.20006OpenAlexW2557271727MaRDI QIDQ4977685

Mohammad Hosein Salmani Yengejeh, Kamal Aziziheris

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1262389

zbMATH Keywords

solvable groupalmost simple groupnonsolvable groupsolvable character degree set

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) Finite simple groups and their classification (20D05)

Related Items (1)

Non-solvable groups having five irreducible character degrees

Cites Work

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• Degree graphs of simple groups.
• Determining group structure from the sets of character degrees.
• Degree-problems. I: Squarefree character degrees
• Determining group structure from sets of irreducible character degrees
• Connectedness of degree graphs of nonsolvable groups.
• Some character degree conditions implying solvability of finite groups.
• Nonsolvable groups with no prime dividing four character degrees
• Character degrees of extensions of PSL2(q) and SL2(q)
• A direct product coming from a particular set of character degrees
• Character degree graphs of automorphism groups of characteristically simple groups
• Nonsolvable groups with no prime dividing three character degrees.
• Nonsolvable groups with no prime dividing three character degrees.

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