Finite groups with given properties of basic subgroups of fans of Sylow subgroups

DOI10.1142/S1793557122502357MaRDI QIDQ6650386

T. I. Vasil'eva

Publication date: 9 December 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

fanfinite groupSylow subgroupsaturated formation\(\mathfrak{F}\)-subnormal subgroup

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) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• Finite groups with submodular Sylow subgroups
• Finite groups with generalized subnormal embedding of Sylow subgroups
• On the finite groups of supersoluble type.
• Characterization of classes of finite groups with the use of generalized subnormal Sylow subgroups.
• Submodular subgroups in finite groups
• Arrangement of subgroups
• Finite soluble groups
• On groups with formational subnormal Sylow subgroups
• Subgroups of the Fan of Sylow subgroups and the supersolvability of a finite group
• On a problem of L. A. Shemetkov on superradical formations of finite groups.
• Classes of finite groups with generalized subnormal cyclic primary subgroups.
• Finite soluble groups with all n-maximal subgroups 𝔉${\mathfrak {F}}$-subnormal
• Classes of Finite Groups

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