On element orders in covers of \(L_4(q)\) and \(U_4(q)\)

DOI10.33048/SEMI.2020.17.037zbMath1435.20020arXiv2002.00648OpenAlexW3105689866MaRDI QIDQ2182235

Saveliĭ Vyacheslavovich Skresanov, Mariya A. Grechkoseeva

Publication date: 21 May 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.00648

zbMATH Keywords

modular representationorders of elementsdefining characteristicsimple unitary groupsimple linear group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (3)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Finite groups isospectral to simple groups ⋮ On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum

Cites Work

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• On the structure of finite groups isospectral to finite simple groups.
• On element orders in covers of finite simple classical groups.
• Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).
• Exceptional action of the simple groups \(L_4(q)\) in the defining characteristic.
• Recognition of simple groups U 3(Q) by element orders
• Properties of element orders in covers for L(n,q) and U(n,q)
• Recognition of the simple groups L3(q) by element orders
• Element orders in covers of finite simple groups of Lie type
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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