Fitting heights and the character degree graph

DOI10.1007/s000130050512zbMath0986.20007OpenAlexW2036929636MaRDI QIDQ1592794

Mark L. Lewis

Publication date: 27 May 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050512

zbMATH Keywords

finite solvable groupsFitting heightsdegree 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)

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Fitting height and character degree graphs., Regular character degree graphs., Groups whose prime graph on conjugacy class sizes has few complete vertices., Solvable groups whose degree graphs have two connected components, Bounding Fitting Heights of Two Classes of Character Degree Graphs, Bounding Fitting heights of character degree graphs, Character degrees, conjugacy class sizes, and element orders: three primes, An overview of graphs associated with character degrees and conjugacy class sizes in finite groups., Fitting Height and Diameter of Character Degree Graphs