Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank).

DOI10.2478/s11533-011-0077-0zbMath1247.20044OpenAlexW2060142851MaRDI QIDQ651303

Abdelhafid Badis, Nadir Trabelsi

Publication date: 12 December 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0077-0

zbMATH Keywords

subgroups of finite indexfinitely generated subgroupssubnormal subgroupslocally graded groupsBaer groupsBaer-by-Chernikov groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (2)

On infinitely generated groups whose proper subgroups are solvable. ⋮ ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER

Cites Work

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• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• Embedding groups in locally (soluble-by-finite) simple groups
• Groups with many nilpotent subgroups

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