On spectra of automorphic extensions of finite simple groups F4(q) and 3D4(q)

DOI10.1142/S0219498816501681zbMath1360.20012MaRDI QIDQ2816942

M. A. Zvezdina, Mariya A. Grechkoseeva

Publication date: 26 August 2016

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

zbMATH Keywords

finite simple grouprecognition by spectrumautomorphic extensionset of element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Spectra of automorphic extensions of finite simple exceptional groups of Lie type ⋮ Codegrees and element orders of almost simple groups ⋮ Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Element orders and codegrees of characters in non-solvable groups ⋮ Finite groups isospectral to simple groups ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum ⋮ Spectra of the finite simple groups \(E_{7}(q)\) ⋮ Spectra of groups \(E_8(q)\) ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum

Cites Work

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• On element orders in covers of finite simple classical groups.
• Prime graph components of finite almost simple groups
• Addendum to ``Prime graph components of finite almost simple groups.
• The local structure of finite groups of characteristic 2 type
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Centralizers of Semisimple Elements in Finite Groups of Lie Type

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