Determining group structure from the sets of character degrees.

DOI10.1016/j.jalgebra.2010.01.002zbMath1196.20007OpenAlexW2073266814MaRDI QIDQ961029

Kamal Aziziheris

Publication date: 29 March 2010

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

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=kent1292619355

zbMATH Keywords

finite solvable groupsFitting heightsets 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)

A direct product coming from a particular set of character degrees ⋮ Bounding the derived length for a given set of character degrees. ⋮ Some character degree conditions implying solvability of finite groups. ⋮ Determining group structure by set of conjugacy class sizes ⋮ Some solvable character degree sets ⋮ Non-solvable groups having five irreducible character degrees

Cites Work

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• Determining group structure from sets of irreducible character degrees
• Groups having three complex irreducible character degrees
• A characterization of groups in terms of the degrees of their characters. II
• Solvable groups whose degree graphs have two connected components
• Prime Divisibility Among Degrees of Solvable Groups

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