On finite groups with nilpotent Sylow-normalizers

DOI10.1007/BF01191993zbMath0605.20017MaRDI QIDQ1084178

Mariagrazia Bianchi, Anna Gillio Berta Mauri, Peter Hauck

Publication date: 1986

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

zbMATH Keywords

finite solvable groupnilpotent self-normalizing subgroupsconjugacy class of Carter subgroups

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) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (27)

Finite NPDM-groups ⋮ Finite soluble groups with supersoluble Sylow normalizers ⋮ Unnamed Item ⋮ The influence of second maximal subgroups on the generalized p-solvability of finite groups ⋮ Finite groups with subnormal residuals of Sylow normalizers ⋮ On some results in the theory of finite partially soluble groups ⋮ The influence of non-c_p-normal subgroups on the structure of non-solvable groups ⋮ On finite groups with \(\mathbb{P}_{\pi} \)-subnormal subgroups ⋮ On some second maximal subgroups of non-solvable groups ⋮ Finite groups with formation subnormal normalizers of Sylow subgroups ⋮ \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups. ⋮ Finite groups with certain normalizers of Sylow subgroups ⋮ On normalizers of Sylow subgroups in finite groups ⋮ On \(G\)-covering subgroup systems of finite groups. ⋮ SATURATED FORMATIONS CLOSED UNDER SYLOW NORMALIZERS ⋮ Restrictions on maximal invariant subgroups implying solvability of finite groups ⋮ ON SYLOW NORMALIZERS OF FINITE GROUPS ⋮ On the Sylow graph of a group and Sylow normalizers. ⋮ Bounds on the fitting length of finite soluble groups with supersoluble Sylow normalisers ⋮ Finite groups with complemented minimal p-subgroups ⋮ Subgroups of the Fan of Sylow subgroups and the supersolvability of a finite group ⋮ Symmetric and general linear groups with supersoluble Sylow normalizers ⋮ On one criterion for the \(\sigma \)-nilpotency of a finite group ⋮ Saturated formations and Sylow normalisers ⋮ Normal subgroups of finite groups and formations with normalizer conditions ⋮ On \(\mathcal{M} \)-supplemented subgroups ⋮ \(G\)-covering subgroup systems for the class of all \(\sigma \)-nilpotent finite groups

Cites Work

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• A special class of non-solvable groups
• Projektive Klassen endlicher Gruppen. I: Schunck- und Gaschützklassen
• On finite insoluble groups with nilpotent maximal subgroups
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I

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