On groups with nilpotent by Černikov proper subgroups

DOI10.1007/S000130050097zbMath0897.20021OpenAlexW2025461722MaRDI QIDQ1383585

Elisabetta Pegoraro, Franco Napolitani

Publication date: 17 August 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050097

zbMATH Keywords

finitely generated subgroupsperiodic groupslocally graded groupsAbelian-by-finite groupslocally finite \(p\)-groupsnilpotent-by-Chernikov subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Local properties of groups (20E25)

Related Items (11)

On groups with all subgroups norma-by-(finite rank) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Uncountable groups with restrictions on subgroups of large cardinality. ⋮ Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov. ⋮ Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank). ⋮ On locally graded minimal non-(finite-by-hypercentral) groups ⋮ On locally graded non-periodic barely transitive groups. ⋮ Groups with all proper subgroups soluble-by-finite rank. ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups whose proper subgroups are linear

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