On finite soluble groups of fixed rank.

DOI10.1134/S0037446611050144zbMath1248.20016MaRDI QIDQ665902

Victor S. Monakhov, Alexander Trofimuk

Publication date: 7 March 2012

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

zbMATH Keywords

Hall subgroupsrankschief factorsderived lengthsFrattini subgroup\(p\)-lengthsnilpotent lengthssoluble 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)

Related Items (4)

Unnamed Item ⋮ On the derived length of a finite group with complemented subgroups of order \(p^2\) ⋮ Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup ⋮ Supersolvability of finite factorizable groups with cyclic Sylow subgroups in the factors.

Cites Work

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• Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group
• Every saturated formation is a local formation
• Sufficient conditions for the existence of ordered Sylow towers in finite groups
• The derived length of \(p\)-groups
• The solvable length of a solvable linear group
• Beweis eines Satzes über diskrete Gruppen
• Normalteiler und maximale Untergruppen endlicher Gruppen
• LINEAR GROUPS OF SMALL DEGREE OVER FINITE FIELDS
• The Subgroups of PSL(3, q) for odd q

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