Characterization of a certain class of Chernikov groups

DOI10.1007/BF02009331zbMath0663.20041OpenAlexW2033251760MaRDI QIDQ1114010

S. H. Smith

Publication date: 1987

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02009331

zbMATH Keywords

centralizerminimal conditionChernikov groupgroup without involutionsperiodic (a)-invariant abelian subgroup

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

On groups with Frobenius elements.

Cites Work

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• \(M_ p\)-groups with a regular handle
• Infinite groups saturated by Frobenius subgroups
• Solvability of groups of odd order
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER

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