ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER

DOI10.1142/S0219498813500151zbMath1287.20049MaRDI QIDQ4928322

Nadir Trabelsi, Ahmet Arıkan

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupslocally graded groupsChernikov groupsminimal non-nilpotent groupsBaer groupsdivisible Abelian groupsminimal non-Baer 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)

Unnamed Item ⋮ Groups with iterated restrictions on conjugacy classes

Cites Work

• Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank).
• Soluble minimal non-(finite-by-Baer)-groups.
• Groups whose proper subgroups are finite-by-nilpotent
• A group with trivial centre satisfying the normalizer condition
• GROUPS WITH ALL PROPER SUBGROUPS (FINITE RANK)-BY-NILPOTENT. II
• On Minimal Non-Baer-Groups
• Finitary groups and Krull dimension over the integers
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• Groups with few non-nilpotent subgroups
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• Groups whose proper subgroups are Baer groups
• Groups with many nilpotent subgroups

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