Finite soluble groups with supersoluble Sylow normalizers

DOI10.1007/BF01313488zbMath0638.20013OpenAlexW2077633695MaRDI QIDQ1099248

Luigi Serena, Valeria Fedri

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01313488

zbMATH Keywords

solvable groupp-lengthFitting lengthsupersolvable Sylow normalizers

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (11)

Finite groups with subnormal residuals of Sylow normalizers ⋮ On some results in the theory of finite partially soluble groups ⋮ Finite groups with formation subnormal normalizers of Sylow subgroups ⋮ \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups. ⋮ On \(G\)-covering subgroup systems of finite groups. ⋮ SATURATED FORMATIONS CLOSED UNDER SYLOW NORMALIZERS ⋮ ON SYLOW NORMALIZERS OF FINITE GROUPS ⋮ Bounds on the fitting length of finite soluble groups with supersoluble Sylow normalisers ⋮ Subgroups of the Fan of Sylow subgroups and the supersolvability of a finite group ⋮ Symmetric and general linear groups with supersoluble Sylow normalizers ⋮ Saturated formations and Sylow normalisers

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
• On finite groups with nilpotent Sylow-normalizers
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Two Applications of Twisted Wreath Products to Finite Soluble Groups
• Endliche Gruppen I

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