The Taketa problem and character degree graphs with diameter three.

DOI10.1007/S10468-015-9546-7zbMath1331.20005OpenAlexW597219433MaRDI QIDQ895864

Mark L. Lewis, Catherine B. Sass

Publication date: 7 December 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-015-9546-7

zbMATH Keywords

finite solvable groupsirreducible complex charactersderived lengthscharacter degree graphssets of character degreesTaketa problem

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 (2)

Unnamed Item ⋮ Isaacs–Seitz conjecture for certain groups

Cites Work

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• Character degree graphs of solvable groups with diameter three
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On the character degree graph of solvable groups. I: Three primes
• Irreducible character degrees and normal subgroups
• Taketa's theorem for some character degree sets.
• Bounding the Derived Length of a Solvable Group: An Improvement on a Result by Gluck
• Derived lengths and character degrees
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• Derived lengths of solvable groups having five irreducible character degrees. I.

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