Locally finite groups with all subgroups normal-by-(finite rank)

DOI10.1006/JABR.1997.7264zbMath0896.20029OpenAlexW2031321635MaRDI QIDQ1383974

Eugenii I. Khukhro, Howard Smith

Publication date: 3 June 1998

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

Full work available at URL: https://semanticscholar.org/paper/c518dcf18a904ed497886746a07f315a2b3fc218

zbMATH Keywords

finitely generated subgroupslocally finite groupsgroups of finite rankAbelian normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (2)

Groups with \(H/\text{core}(H)\) satisfying max or min for all subgroups \(H\). ⋮ On ω-categorical groups and their completions

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• On almost fixed point free automorphisms
• On locally finite groups of finite rank
• Weak Maximality Condition and Polycyclic Groups
• Locally Finite Groups All of Whose Subgroups are Boundedly Finite over Their Cores

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