On the Largest Irreducible Character Degree of a Finite Solvable Group

DOI10.1142/S1005386710000866zbMath1208.20004MaRDI QIDQ3057664

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Publication date: 16 November 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/17spec01/S1005386710000866.html

zbMATH Keywords

finite solvable groupsirreducible characterscharacter degreesregular orbits

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 (1)

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

Cites Work

• Unnamed Item
• A bound for $|G:\mathbf O_p(G)|_p$ in terms of the largest irreducible character degree of a finite $p$-solvable group $G$

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