On groups whose all proper subgroups have Chernikov derived subgroups.

DOI10.1007/S10958-011-0343-5zbMath1283.20035OpenAlexW2080114924MaRDI QIDQ393297

Nikolaj N. Semko, Oksana A. Yarovaya

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0343-5

zbMATH Keywords

locally graded groupsnormal closuresminimal conditiongroups with Chernikov derived subgroupnormal systems of subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Cites Work

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• Groups in which every proper subgroup is Chernikov-by-nilpotent or nilpotent-by-Chernikov
• Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions
• Groups of Miller - Moreno type
• О Бесконечных Группах типа Миллера — Морено

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