Locally finite groups with Cernikov centralizers

DOI10.1016/0021-8693(81)90292-1zbMath0451.20036OpenAlexW1968135736MaRDI QIDQ1147807

A. O. Asar

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90292-1

zbMATH Keywords

involutionlocally finite groupChernikov groupperiodic locally soluble groupsoluble subgroup of finite index

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphism groups of groups (20F28) Local properties of groups (20E25)

Related Items (2)

On locally soluble periodic groups with Chernikov centralizer of a four-subgroup ⋮ On groups in which the centralizer of an involution satisfies min-\(\pi\)

Cites Work

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• Some remarks on Cernikov \(p\)-groups
• Finite groups of automorphisms of locally soluble groups
• On a problem of Kegel and Wehrfritz
• On periodic groups with an almost regular involution
• Strong finiteness conditions in locally finite groups
• Endliche Gruppen I

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