On characterization of simple orthogonal groups of odd dimension in the class of periodic groups

DOI10.1134/S0037446621010080zbMath1498.20093OpenAlexW3127035052MaRDI QIDQ2221964

Victor D. Mazurov, Daria V. Lytkina

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621010080

zbMATH Keywords

periodic grouplocally finite groupgroup saturated with set of groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50)

Related Items (1)

Locally finite periodic groups saturated with finite simple orthogonal groups of odd dimension

Cites Work

• Embeddings of finite Chevalley groups and periodic linear groups
• The classification of the simple periodic linear groups
• The faithful linear representations of least degree of \(S_n\) and \(A_n\) over a field of characteristic 2.
• Characterization of locally finite simple groups of the type \(^3D_4\) over fields of odd characteristic in the class of periodic groups
• Characterization of simple symplectic groups of degree 4 over locally finite fields in the class of periodic groups
• On periodic groups saturated by finite simple groups.
• On certain torsion groups saturated with finite simple groups
• On the periodic groups saturated with finite simple groups of Lie type \(B_3\)
• Periodic groups saturated with finite simple groups of types \(U_3\) and \(L_3\)
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• Twisted wreath products and Sylow 2-subgroups of classical simple groups
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Finite subgroups of algebraic groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
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