ON MINIMAL SUBGROUPS OF FINITE GROUPS

DOI10.1017/S0017089509005035zbMath1178.20013MaRDI QIDQ3633320

Mohamed Asaad

Publication date: 18 June 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite groupsSylow subgroupsproducts of subgroupsminimal subgroupsMS-groupsminimal non-MS-groupsminimal non-PS-groupsPN-groups

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) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

A Classification of Minimal Non-MNP-Groups ⋮ On minimal non-MSN-groups. ⋮ On minimal non-\(MSP\)-groups. ⋮ On a class of generalised Schmidt groups. ⋮ A complete classification of minimal non-\(PS\)-groups. ⋮ On the supersolubility of a group with some tcc-subgroups ⋮ Finite groups with S-quasinormal subgroups

Cites Work

• Unnamed Item
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On minimal non PN-groups
• Minimal nicht überauflösbare, endliche Gruppen
• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups

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