On element orders in coverings of the simple groups \(L_n(q)\) and \(U_n(q)\).

DOI10.1134/S0081543807050100zbMath1238.20019MaRDI QIDQ764693

Andrei V. Zavarnitsine, Victor D. Mazurov

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsspecial unitary groupscovering groupsspecial linear groupssets of element ordersrecognizable groupsrecognizability by spectra

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) Representations of finite groups of Lie type (20C33)

Related Items (7)

On recognition of direct powers of finite simple linear groups by spectrum ⋮ Finite groups isospectral to simple groups ⋮ Quasirecognition by prime graph of finite simple groups \(L_n(2)\) and \(U_n(2)\). ⋮ Intersections of two nilpotent subgroups in finite groups with socle \(L_2(q)\) ⋮ On recognition by spectrum of the simple groups \(B_3(q)\), \(C_3(q)\), and \(D_4(q)\). ⋮ Recognition of the projective special linear group over \(\text{GF}(3)\). ⋮ ON COMPOSITION FACTORS OF A GROUP WITH THE SAME PRIME GRAPH AS Ln(5)

Cites Work

• Unnamed Item
• The set of orders of elements in a finite group
• CHARACTERIZATION OF THE GROUPSPSL₅(2),PSL₆(2), ANDPSL₇(2)
• On a Theorem of Sylvester and Schur
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS
• The characterization of \(\text{PSL}(2,q)\) by its element orders

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