Retracted article: Barely transitivity and hypercentrality in locally finite \(p\)-groups.

DOI10.1007/S11587-010-0082-9zbMath1255.20036OpenAlexW2088878626MaRDI QIDQ691652

A. O. Asar

Publication date: 3 December 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-010-0082-9

zbMATH Keywords

locally finite \(p\)-groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) General theory for infinite permutation groups (20B07) Local properties of groups (20E25)

Cites Work

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• Barely transitive permutation groups
• Torsionsgruppen, deren Untergruppen alle subnormal sind. (Torsion groups all subgroups of which are subnormal)
• On the normalizer condition and barely transitive permutation groups
• The structure of finitary permutation groups
• On the question of existence of minimal non-FC-groups
• A group with trivial centre satisfying the normalizer condition
• Groups covered by conjugates of proper subgroups.
• Locally finite minimal non-FC-groups
• A reduction theorem for perfect locally finite minimal non-FC groups
• Groups with few non-nilpotent subgroups
• Non-simplicity of locally finite barely transitive groups
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov

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