Groups with the maximum condition on non-nilpotent subgroups

DOI10.1515/JGTH.2001.009zbMath0972.20020OpenAlexW2016602372MaRDI QIDQ2705012

Martyn R. Dixon, Leonid A. Kurdachenko

Publication date: 18 November 2001

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

Full work available at URL: https://doi.org/10.1515/jgth.2001.009

zbMATH Keywords

locally nilpotent groupsAbelian-by-finite groupsHirsch-Plotkin radicalmaximum conditionlocally soluble-by-finite groupsnormal nilpotent subgroupsdivisible Chernikov subgroupsnon-locally-nilpotent groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (1)

Groups with finitely many isomorphic classes of relevant subgroups

Cites Work

• Groups with subnormality for all subgroups that are not finitely generated
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