On locally finite groups whose derived subgroup is locally nilpotent

DOI10.1002/MANA.202400263MaRDI QIDQ6656188

M. Trombetti

Publication date: 2 January 2025

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

locally finite groupformation of groupssupersoluble grouplinear groupderived subgroupparanilpotent group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Cites Work

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• Zur Theorie der endlichen auflösbaren Gruppen
• Criteria for a satisfactory formation theory
• \(\sigma\)-subnormality in locally finite groups
• Supersoluble and locally supersoluble linear groups
• Saturated formations and Sylow structure in locally finite groups
• Eine Verallgemeinerung der invarianten Untergruppen
• Subnormality in linear groups
• Infinite minimal non-hypercyclic groups
• A dual approach to Černikov modules
• Linear groups whose proper subgroups are close to being nilpotent
• Classes of Finite Groups
• Soluble Periodic Linear Groups
• Formations of Locally Soluble FC-Groups
• Joins of $\sigma$-subnormal subgroups

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