Bounding an Index by the Largest Character Degree of ap-Solvable Group

DOI10.1080/00927872.2012.752492zbMath1300.20010arXiv1009.5434OpenAlexW2075335848MaRDI QIDQ5412054

Mark L. Lewis

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1009.5434

zbMATH Keywords

finite groups\(p\)-solvable groupsirreducible complex characterscharacter degreesGluck conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (2)

On the largest conjugacy class length of a finite group. ⋮ Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group

Cites Work

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• Large character degrees of solvable 3’-groups
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• The largest Irreducible Character Degree of a Finite Group
• Large orbits in actions of nilpotent groups
• A bound for $|G:\mathbf O_p(G)|_p$ in terms of the largest irreducible character degree of a finite $p$-solvable group $G$
• Notes on the largest irreducible character degree of a finite group

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