On a sufficient condition for the existence of a periodic part in the Shunkov group

zbMath1397.20045MaRDI QIDQ1789740

Alekseĭ Anatol'evich Shlëpkin

Publication date: 10 October 2018

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_89e82a3a742844efbf074ea91f935bcf&lang=rus

zbMATH Keywords

Shunkov groupgroups saturated with set of groups

Mathematics Subject Classification ID

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)

Related Items (3)

On periodic Shunkov's groups with almost layer-finite normalizers of finite subgroups ⋮ On periodic groups of Shunkov with the Chernikov centralizers of involutions ⋮ On two properties of Shunkov group

Cites Work

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• About periodic Shunkov group saturated with finite simple groups of Lie type rank 1
• Groups saturated by finite simple groups.
• On the periodic groups saturated by direct products of finite simple groups. II.
• Groups saturated by sets of groups.
• Periodic groups, saturated by wreathed groups.
• Conjugately biprimitively finite groups with the primary minimal condition
• q-primitively finite groups with a minimality condition for q-subgroups
• On periodic groups saturated by finite simple groups.
• Shunkov groups with primary minimality condition. III
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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