Groups with some minimal conditions on non-nilpotent subgroups

DOI10.1515/JGTH.2001.017zbMath0971.20015OpenAlexW1972080986MaRDI QIDQ2711632

Martin J. Evans, Howard Smith, Martyn R. Dixon

Publication date: 29 October 2001

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2001.017

zbMATH Keywords

locally finite groupslocally graded groupsChernikov groupsnormal nilpotent \(p\)-subgroupsweak minimal condition on non-nilpotent subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (4)

Locally soluble-by-finite groups with the weak minimal condition on non-nilpotent subgroups ⋮ Groups with finiteness conditions on the lower central series of non-normal subgroups ⋮ Groups with some restrictions on non-Baer subgroups ⋮ A constructive approach to accessible group classes

Cites Work

• Unnamed Item
• Groups with the minimum condition on insoluble subgroups

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