Structure of the maximal tori in spin groups.

DOI10.1134/S0037446615030064zbMath1323.20046OpenAlexW2248468180MaRDI QIDQ498228

Andrei V. Zavarnitsine

Publication date: 28 September 2015

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

Full work available at URL: https://doi.org/10.1134/s0037446615030064

zbMATH Keywords

finite groups of Lie typeChevalley groupsspin groupsfinite classical groupsrecognizabilitysets of element ordersmaximal toridirect products of cyclic groupssemisimple elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

Non-abelian composition factors of \(m\)-rational groups ⋮ On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ Orders of elements of finite almost simple groups ⋮ On spectra of almost simple groups with symplectic or orthogonal socle ⋮ The spectra of almost simple groups with socle E ₇ (q) ⋮ Spectra of the finite simple groups \(E_{7}(q)\) ⋮ Non-abelian composition factors of \(\ell\)-Brauer \(m\)-rational groups ⋮ Spectra of groups \(E_8(q)\)

Cites Work

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• The cyclic structure of maximal tori of the finite classical groups
• Recognition by spectrum for finite linear groups over fields of characteristic 2
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• Recognition of the simple groups L3(q) by element orders

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