Bounding the Derived Length of a Solvable Group: An Improvement on a Result by Gluck

DOI10.1080/00927872.2011.558883zbMath1247.20003OpenAlexW2037660911MaRDI QIDQ2903348

Tobias Kildetoft

Publication date: 8 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.558883

zbMATH Keywords

finite solvable groupsirreducible complex characterscharacter degreesderived lengths

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 (2)

The Taketa problem and character degree graphs with diameter three. ⋮ Positions of characters in finite groups and the Taketa inequality

Cites Work

• Derived lengths of solvable groups having five irreducible character degrees. I.
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