Finite groups with exactly one composite character degree

DOI10.1142/S0219498816501322zbMath1357.20005MaRDI QIDQ2816895

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Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite groupirreducible charactercomposite degree

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Related Items (5)

A CHARACTER-THEORETIC CRITERION FOR THE SOLVABILITY OF FINITE GROUPS ⋮ Finite groups with two composite character degrees ⋮ The number of composite character degrees in solvable groups ⋮ Finite groups with three composite character degrees ⋮ Finite groups with exactly one composite conjugacy class size

Cites Work

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• Nonsolvable groups satisfying the prime-power hypothesis.
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• Non-solvable groups, whose character degrees are products of at most two prime numbers
• Character degree graphs that are complete graphs

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