On periodic groups saturated by finite simple groups.

DOI10.1134/S0037446612020164zbMath1255.20037OpenAlexW2079904862MaRDI QIDQ1760509

K. A. Filippov

Publication date: 14 November 2012

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

Full work available at URL: https://doi.org/10.1134/s0037446612020164

zbMATH Keywords

finite subgroupsfinite simple groupsperiodic groupslinear groups over locally finite fieldslocally finite groupssaturated groupssaturations of groups by sets of groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Simple groups: alternating groups and groups of Lie type (20D06) Local properties of groups (20E25)

Related Items (11)

On periodic groups and Shunkov groups that are saturated by dihedral groups and \(A_5\) ⋮ On the periodic groups saturated with finite simple groups of Lie type \(B_3\) ⋮ Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups ⋮ On Shunkov groups saturated with finite groups ⋮ On characterization of simple orthogonal groups of odd dimension in the class of periodic groups ⋮ Characterization of locally finite simple groups of the type \(^3D_4\) over fields of odd characteristic in the class of periodic groups ⋮ On a sufficient condition for the existence of a periodic part in the Shunkov group ⋮ Periodic groups saturated with finite simple groups of Lie type of rank 1 ⋮ Groups with a strongly embedded subgroup saturated with finite simple non-abelian groups ⋮ Characterization of locally finite simple groups of type \(G_2\) over fields of odd characteristics in the class of periodic groups ⋮ Characterizations of Simple Linear Groups in the Class of Periodic Groups

Cites Work

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• Groups saturated by finite simple groups.
• Embeddings of finite Chevalley groups and periodic linear groups
• The classification of the simple periodic linear groups
• On some groups with finite involution saturated with finite simple groups.
• On periodic groups with an almost regular involution
• Some Constructions for Locally Finite Groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• On periodic groups with Abelian centralizers of involutions
• A class of periodic groups

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