Bounding Fitting heights of character degree graphs

DOI10.1006/jabr.2001.8831zbMath0989.20007OpenAlexW2004417248MaRDI QIDQ5945140

Mark L. Lewis

Publication date: 16 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8831

zbMATH Keywords

finite solvable groupsFitting heightscharacter degreesdegree graphs

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (16)

SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3 ⋮ Fitting height and character degree graphs. ⋮ Character degree graphs of solvable groups with diameter three ⋮ Regular character degree graphs. ⋮ Square character degree graphs yield direct products. ⋮ Character degree graphs with no complete vertices. ⋮ Disconnectedness and Diameters of Degree Graphs Associated with Normal Subgroups# ⋮ BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE ⋮ Bounding Fitting Heights of Two Classes of Character Degree Graphs ⋮ Character degree graphs and normal subgroups ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ On bipartite divisor graphs for group conjugacy class sizes. ⋮ Fitting Height and Diameter of Character Degree Graphs ⋮ Solvable groups whose prime divisor character degree graphs are 1-connected ⋮ On generalized Gagola characters. ⋮ Finite groups with \(K_4\)-free prime graphs.

Cites Work

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• Character theory of finite groups
• Irreducible character degree sets of solvable groups
• Determining group structure from sets of irreducible character degrees
• Fitting heights and the character degree graph
• Equally partitioned groups
• A note on character degrees of finite solvable groups
• Derived lengths of solvable groups having five irreducible character degrees. I.

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