Shunkov groups saturated with general linear groups.

DOI10.1134/S003744661601016XzbMath1347.20038MaRDI QIDQ299176

Alekseĭ Anatol'evich Shlëpkin

Publication date: 22 June 2016

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

zbMATH Keywords

finite subgroupsperiodic groupsfinite general linear groupsgeneral linear groups over locally finite fieldsgroups saturated by sets of groupsperiodic Shunkov groupssaturating sets

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) Local properties of groups (20E25)

Related Items (2)

Shunkov groups saturated by general linear groups of degree 3 ⋮ Locally finite groups with prescribed structure of finite subgroups

Cites Work

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• On the periodic groups saturated by direct products of finite simple groups. II.
• On the periodic groups saturated with projective linear groups.
• Groups saturated by sets of groups.
• Periodic groups, saturated by wreathed groups.
• On Shunkov group saturated with \(GL_2(p^n)\).
• On periodic groups with an almost regular involution
• Indecomposable Sylow 2-subgroups of simple groups.
• On a class of \(p\)-groups

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