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Nilpotent and perfect groups with the same set of character degrees

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Publication:2878796
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DOI10.1142/S0219498814500613zbMath1305.20008MaRDI QIDQ2878796

Gabriel Navarro, Noelia Rizo

Publication date: 5 September 2014

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


zbMATH Keywords

finite groupssolvabilityperfect groupsnilpotent groupssets of character degrees


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)


Related Items (5)

Huppert's conjecture for alternating groups ⋮ The set of conjugacy class sizes of a finite group does not determine its solvability. ⋮ Degrees of irreducible representations of direct products of nonabelian simple groups ⋮ Characters of 𝜋’-degree ⋮ Groups with the same character degrees as sporadic quasisimple groups


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