Subnormality, ascendancy, and the minimal condition on subgroups

DOI10.1016/0021-8693(76)90169-1zbMath0342.20018OpenAlexW1971720023MaRDI QIDQ1231980

T. A. Peng, Brian Hartley

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90169-1

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Engel conditions (20F45)

Related Items (6)

Subnormality in linear groups ⋮ Wielandt's subnormality criterion and linear groups ⋮ A criterion for subnormality ⋮ Subideals and ascendant subalgebras of Lie algebras ⋮ Criteria for subnormality ⋮ Subnormality and ascendancy in soluble groups of finite rank

Cites Work

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• The Engel elements of a soluble group
• Criteria for subnormality in finite groups.
• On the theory of subnormal subgroups
• On bounded Engel elements in groups
• On certain subnormal coalition classes
• The Frattini Subgroups of Finitely Generated Groups
• On some criteria of locally nilpotent groups
• Engel Elements in Groups with the Minimal Condition

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