Periodic groups saturated with direct products of Suzuki groups and elementary Abelian 2-groups.

DOI10.1134/S0037446613050054zbMath1283.20040OpenAlexW2071149728MaRDI QIDQ392724

A. A. Duzh, Daria V. Lytkina

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1134/s0037446613050054

zbMATH Keywords

finite subgroupsfinite simple groupsperiodic groupslocally finite groupssaturated groupssaturations of groups by sets of groupsSuzuki groups over locally finite fields

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups: alternating groups and groups of Lie type (20D06) Local properties of groups (20E25)

Cites Work

• Unnamed Item
• On groups with given properties of the finite subgroups generated by couples of 2-elements.
• Groups saturated by finite simple groups.
• Groups saturated by sets of groups.
• Periodic groups saturated by direct products of Suzuki groups on elementary abelian 2-groups.
• On periodic groups with an almost regular involution
• A NEW TYPE OF SIMPLE GROUPS OF FINITE ORDER

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