Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup

DOI10.1142/S1793557116500376zbMath1339.20015OpenAlexW2176244198MaRDI QIDQ2805947

Alexander Trofimuk

Publication date: 13 May 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500376

zbMATH Keywords

finite solvable groupsSylow subgroupsderived lengthsnilpotent lengthsFitting subgroupnormal ranks\(A_4\)-free 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 (1)

Derived \(p\)-length of a \(p\)-soluble group with bounded indices of fitting \(p\)-subgroups in their normal closures

Uses Software

• GAP

Cites Work

• On finite soluble groups of fixed rank.
• Finite soluble groups
• Derived length of finite groups with restrictions on Sylow subgroups.
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
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