The Fitting length of finite soluble groups. I: Hall subgroups.

DOI10.1007/S00013-016-0895-1zbMath1350.20015arXiv1507.07663OpenAlexW2315863863MaRDI QIDQ284098

Enrico Jabara, Giorgio Busetto

Publication date: 17 May 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07663

zbMATH Keywords

Hall subgroupsfinite soluble groupsSylow subgroupsderived lengthsfactorised groupsFitting lengthsproducts of groupstrifactorized 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) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms ⋮ Some results on finite trifactorized groups

Cites Work

• Unnamed Item
• On the Fitting height of factorised soluble groups.
• Solvability of groups of odd order
• On groups with cyclic Carter subgroups
• Zur Struktur mehrfach faktorischer endlicher Gruppen
• Über das Produkt von zwei abelschen Gruppen

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