Sufficient conditions for supersolubility of finite groups

DOI10.1016/S0022-4049(96)00172-7zbMath0928.20020OpenAlexW2106899941MaRDI QIDQ1295505

Adolfo Ballester-Bolinches, Mari Carmen Pedraza-Aguilera

Publication date: 16 January 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00172-7

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupsquasinormal subgroupssolvable groupsFitting subgroupssupersolvable 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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

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Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Two sufficient conditions for supersolvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Finite soluble groups
• Permutably embedded subgroups of finite soluble groups
• On quasinormal subgroups of finite groups

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