Groups with all proper subgroups soluble-by-finite rank.

DOI10.1016/j.jalgebra.2005.01.047zbMath1083.20034OpenAlexW2031949639MaRDI QIDQ2488326

Howard Smith, Martyn R. Dixon, Martin J. Evans

Publication date: 25 August 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.047

zbMATH Keywords

soluble normal subgroupslocally soluble-by-finite groupsgroups of finite Prüfer rank

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (17)

Some countably recognizable classes of groups ⋮ A local study of group classes ⋮ Unnamed Item ⋮ Groups whose proper subgroups are Baer-by-Chernikov or Baer-by-(finite rank). ⋮ On locally graded non-periodic barely transitive groups. ⋮ ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM ⋮ Groups with many subgroups having polycyclic-by-finite layers or derived subgroup ⋮ On certain characterizations of barely transitive groups. ⋮ Inertial properties in groups ⋮ Soluble minimal non-(finite-by-Baer)-groups. ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ On Minimal Non-Baer-Groups ⋮ Embedding groups in locally (soluble-by-finite) simple groups ⋮ Paranilpotency in uncountable groups ⋮ Unnamed Item ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS ⋮ A constructive approach to accessible group classes

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

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