Characterization of locally finite simple groups of type \(G_2\) over fields of odd characteristics in the class of periodic groups

DOI10.1134/S0001434619030234zbMath1432.20026OpenAlexW2944602836MaRDI QIDQ2314119

Daria V. Lytkina, Xiaoxing Zhu, Victor D. Mazurov

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0001434619030234

zbMATH Keywords

saturationperiodic grouplocally finite groupgroup of Lie type

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32)

Cites Work

• Embeddings of finite Chevalley groups and periodic linear groups
• The classification of the simple periodic linear groups
• On periodic groups saturated by finite simple groups.
• Periodic groups saturated with finite simple groups of types \(U_3\) and \(L_3\)
• 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
• Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd
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