On locally soluble periodic groups with Chernikov centralizer of a four-subgroup

DOI10.1017/S0013091500018757zbMath0817.20044MaRDI QIDQ4289452

P. V. Shumyatskij

Publication date: 31 July 1995

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

locally finite groupsChernikov groupshyperabelian groupsperiodic locally soluble groupsChernikov centralizershyperabelian-by-Chernikov groupsKlein four-subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (5)

On locally finite groups with a four-subgroup whose centralizer is small. ⋮ On the structure of locally finite groups with small centralizers. ⋮ On locally finite groups with a small centralizer of a four-subgroup. ⋮ Group and lie algebras with a fixed-point-free four-group of automorphisms ⋮ Elementary abelian operator groups

Cites Work

• Locally finite groups with Cernikov centralizers
• Locally finite groups with Chernikov Sylow p-subgroups
• Solvability of groups of odd order
• Weakly embedded 2-local subgroups of finite groups
• Fixed Points of Automorphisms of Certain Locally Finite Groups and Chevalley Groups
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• The Solution of a Problem of Kegel and Wehrfritz
• Involutory Automorphisms of Groups of odd Order and Their Fixed Point Groups

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