On groups with all proper subgroups of finite exponent

DOI10.1515/JGT.2010.076zbMath1250.20033OpenAlexW2327410911MaRDI QIDQ3117261

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Publication date: 25 February 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.076

zbMATH Keywords

perfect groupsgroups of finite exponentFitting \(p\)-groupsminimal non-(finite exponent) groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22)

Related Items (2)

On Fitting \(p\)-groups with all proper subgroups satisfying an outer commutator law. ⋮ Unnamed Item

Cites Work

• Barely transitive permutation groups
• Torsionsgruppen, deren Untergruppen alle subnormal sind. (Torsion groups all subgroups of which are subnormal)
• A group with trivial centre satisfying the normalizer condition
• Non-simplicity of locally finite barely transitive groups
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• Characterizations of minimal non-solvable Fitting p-groups

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