Fitting Height and Diameter of Character Degree Graphs

DOI10.1080/00927872.2012.665534zbMath1280.20007OpenAlexW2039638528MaRDI QIDQ2842682

Claudio Paolo Morresi Zuccari

Publication date: 16 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.665534

zbMATH Keywords

finite solvable groupsFitting heightsrepresentationsirreducible characterscharacter degreescharacter degree 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 (5)

Character degree graphs of solvable groups with diameter three ⋮ Regular character degree graphs. ⋮ Groups whose prime graph on conjugacy class sizes has few complete vertices. ⋮ Solvable groups whose character degree graphs generalize squares ⋮ Solvable groups whose prime divisor character degree graphs are 1-connected

Cites Work

• Unnamed Item
• Character degree graphs with no complete vertices.
• On the character degree graph of solvable groups. I: Three primes
• Fitting heights and the character degree graph
• Fitting height and character degree graphs.
• Solvable groups whose degree graphs have two connected components
• A solvable group whose character degree graph has diameter $3$
• Degree problems II π - separable character degrees
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• On the character degree graph of solvable groups. II. Discon- nected graphs
• Bounding Fitting heights of character degree graphs

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