On spectra of almost simple groups with symplectic or orthogonal socle

DOI10.1134/S0037446616040029zbMath1393.20009MaRDI QIDQ345245

Mariya A. Grechkoseeva

Publication date: 1 December 2016

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

zbMATH Keywords

almost simple groupsorders of elementsrecognition by spectrum

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (8)

On spectra of almost simple extensions of even-dimensional orthogonal groups ⋮ On the prime graph of a finite group with unique nonabelian composition factor ⋮ On maximum orders of elements of simple orthogonal groups in characteristic 2 ⋮ On orders of elements of finite almost simple groups with linear or unitary socle ⋮ On the nilpotency of the solvable radical of a finite group isospectral to a simple group ⋮ Finite groups isospectral to simple groups ⋮ On finite groups isospectral to the simple groups \(S_4(q)\) ⋮ Recognition of symplectic and orthogonal groups of small dimensions by spectrum

Uses Software

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Cites Work

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• Structure of the maximal tori in spin groups.
• On the structure of finite groups isospectral to finite simple groups.
• On recognizability by spectrum of finite simple groups of types \(B_n\), \(C_n\), and \(^2D_n\) for \(n=2^k\).
• On finite groups isospectral to finite simple unitary groups over fields of characteristic 2.
• Spectra of automorphic extensions of finite simple symplectic and orthogonal groups over fields of characteristic 2.
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• Spectra of finite symplectic and orthogonal groups
• Recognition of simple groups U 3(Q) by element orders
• Recognizability of finite simple groups L 4(2m) and U 4(2m) by spectrum
• Recognition by spectrum for finite linear groups over fields of characteristic 2
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Recognition of the simple groups L3(q) by element orders
• The characterization of \(\text{PSL}(2,q)\) by its element orders

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