A new characterization of some finite simple groups.

DOI10.1134/S0037446615010073zbMath1318.20012MaRDI QIDQ2352666

F. Mavadatpour, Ali Iranmanesh, M. Foroudi Ghasemabadi

Publication date: 3 July 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsirreducible complex characterssets of element orderszeros of charactersvanishing elementssimple VCP-groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (5)

Recognition of \(\mathrm{PSL}(2,2)^a)\) by the orders of vanishing elements ⋮ Characterization of some finite simple groups by the set of orders of vanishing elements and order ⋮ A new characterization of Suzuki’s simple groups ⋮ Recognition of some finite simple groups by the orders of vanishing elements ⋮ The characterization of PSL(2, p ) ( p ≡±5 (mod 24))

Cites Work

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• Characterization of the finite simple groups by spectrum and order.
• Finite groups whose irreducible characters vanish only on \(p\)-elements.
• Finite simple groups with narrow prime spectrum.
• On the orders of zeros of irreducible characters.
• On the vanishing prime graph of solvable groups
• On the vanishing prime graph of finite groups

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