The set of character degrees of a finite group does not determine its solvability

DOI10.1090/S0002-9939-2014-12321-5zbMath1320.20009MaRDI QIDQ5496436

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Publication date: 2 February 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupssolvabilityirreducible charactersexamplessets of character degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (12)

A CHARACTER-THEORETIC CRITERION FOR THE SOLVABILITY OF FINITE GROUPS ⋮ Huppert's conjecture for alternating groups ⋮ Complex group algebras of almost simple unitary groups ⋮ Problems on characters: solvable groups ⋮ The character co-degree sets and solvability ⋮ Complex group algebras of almost simple groups with socle PSL_n(q) ⋮ Some nonsolvable character degree sets ⋮ Degrees of irreducible representations of direct products of nonabelian simple groups ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ Characters of 𝜋’-degree ⋮ Some character degree sets implying nonsolvability ⋮ Groups with the same character degrees as sporadic quasisimple groups

Cites Work

• Some simple groups which are determined by the set of their character degrees. I
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