Derived length of finite groups with restrictions on Sylow subgroups.

DOI10.1134/S0001434610010335zbMath1201.20010MaRDI QIDQ1957042

Alexander Trofimuk

Publication date: 24 September 2010

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

zbMATH Keywords

finite solvable groupsHall subgroupsSylow subgroupsFrattini subgroupFitting subgroupbicyclic groupsderived lengths of finite 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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (2)

Derived \(p\)-length of a \(p\)-soluble group with bounded indices of fitting \(p\)-subgroups in their normal closures ⋮ Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup

Cites Work

• Unnamed Item
• On maximal and Sylow subgroups of finite solvable groups.
• The derived length of \(p\)-groups
• Beweis eines Satzes über diskrete Gruppen
• Endliche Gruppen I
• Indices of Maximal Subgroups of Finite Soluble Groups

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