Pronormality and strong pronormality of subgroups.

DOI10.1007/s10469-013-9215-zzbMath1279.20028OpenAlexW2052140580MaRDI QIDQ354488

Evgeny P. Vdovin, Danila Olegovitch Revin

Publication date: 19 July 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9215-z

zbMATH Keywords

Carter subgroupsfinite groupsfinite soluble groupsnilpotent groupsSylow subgroupsstrongly pronormal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (3)

On pronormality and strong pronormality of Hall subgroups ⋮ Pronormality of Hall subgroups in their normal closure ⋮ Unnamed Item

Cites Work

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• On the pronormality of Hall subgroups.
• Finite soluble groups
• Nilpotent self-normalizing subgroups of soluble groups
• Theorems of Sylow type
• Carter subgroups of finite almost simple groups

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