ON THE -LENGTH AND THE WIELANDT SERIES OF A FINITE -SOLUBLE GROUP

DOI10.1017/S0004972714000872zbMath1314.20010MaRDI QIDQ5245708

Ning Su, Yan Ming Wang

Publication date: 14 April 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groups\(p\)-solvable groupsSylow subgroupssubnormal subgroups\(p\)-nilpotent groups\(p\)-lengthsnormal seriesWielandt subgroupWielandt seriesWielandt lengthsnilpotent classes

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Finite \(p\)-central groups of height \(k\).
• Über den Normalisator der subnormalen Untergruppen
• On minimal subgroups of finite groups
• On the intersection of the normalizers of the \(\mathcal F\)-residuals of subgroups of a finite group.
• ON THE -LENGTH AND THE WIELANDT LENGTH OF A FINITE -SOLUBLE GROUP
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Endliche Gruppen I

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