Wielandt's subnormality criterion and linear groups

DOI10.1016/0021-8693(80)90173-8zbMath0451.20026OpenAlexW2083636724MaRDI QIDQ1147802

Bertram Arthur Frederick Wehrfritz

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90173-8

zbMATH Keywords

linear groupssubnormal subgroupsoluble-by-finite groupsascendant subgroup

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Subnormal subgroups of abstract finite groups (20D35) Engel conditions (20F45) Other matrix groups over fields (20H20)

Related Items (5)

Subnormality in linear groups ⋮ Linear groups ⋮ Subideals and ascendant subalgebras of Lie algebras ⋮ A Note on Almost Subnormal Subgroups of Linear Groups ⋮ On ascendant subgroups of infinite groups

Cites Work

• A criterion for subnormality
• Subnormality, ascendancy, and the minimal condition on subgroups
• Finite central height in linear groups
• Criteria for subnormality
• On the holomorphs of soluble groups of finite rank
• Criteria for subnormality in finite groups.
• The upper central series in soluble groups
• A note on subnormality
• Nilpotence in Groups of Semi-Linear Maps
• On nil-algebras and finitely approximable 𝑝-groups
• Conjugacy Separating Representations of Free Groups
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