Finite groups all of whose small subgroups are pronormal

DOI10.1007/S10474-015-0531-8zbMath1363.20011OpenAlexW1061116037MaRDI QIDQ343270

Izabela Agata Malinowska

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0531-8

zbMATH Keywords

\(p\)-group\(T\)-groupDedekind groupnormal subgrouppronormal subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

A note on pronormal \(p\)-subgroups of finite groups ⋮ The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ Finite groups with some pronormal subgroups

Cites Work

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• Products of finite groups.
• On \(T\)-groups, supersolvable groups, and maximal subgroups.
• Groups of prime power order. Vol. 1.
• Groups of prime power order. Vol. 2.
• Minimality and locally defined classes of groups.
• Groups which are minimal with respect to normality being intransitive
• Finite groups whose minimal subgroups are normal
• Finite Groups with Self-Conjugate-Permutable Subgroups
• On finite solvable groups in which normality is a transitive relation
• Finite groups all of whose small subgroups are normal
• Finite groups with NE-subgroups

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