Groups satisfying chain conditions on \(f\)-subnormal subgroups

DOI10.1007/s00009-018-1190-0zbMath1491.20071OpenAlexW2807356232WikidataQ129719463 ScholiaQ129719463MaRDI QIDQ1790523

Maria Ferrara, Martyn R. Dixon, Marco Trombetti

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1190-0

zbMATH Keywords

\(f\)-subnormal subgroup\(f\)-Wielandt subgroupmaximal condition on \(f\)-subnormal subgroupsminimal condition on \(f\)-subnormal subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (3)

Some trends in the theory of groups with finitely many normalizers ⋮ Unnamed Item ⋮ An analogue of the Wielandt subgroup in infinite groups

Cites Work

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• Über den Normalisator der subnormalen Untergruppen
• On the norm of a group
• On the theory of subnormal subgroups
• On certain subnormal coalition classes
• CHAIN CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX
• Groups in which every subgroup is f-subnormal
• The Wielandt subgroup of a polycyclic group
• ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX
• On Groups in which Every Subgroup is Almost Subnormal
• Some generalizations of normal series in infinite groups

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