On finite groups with \(\mathbb{P}_{\pi} \)-subnormal subgroups

DOI10.1134/s0001434623090158OpenAlexW4387902261MaRDI QIDQ6084905

A. G. Koranchuk, T. I. Vasil'eva

Publication date: 7 November 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623090158

zbMATH Keywords

Sylow subgrouphereditary saturated formation\( \mathbb{P}_{\pi} \)-subnormal subgroup\({\pi} \)-solvable group\({\pi}\)-supersolvable group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Solvable groups, supersolvable groups (20F16) Other classes of groups defined by subgroup chains (20F22) Formations of groups, Fitting classes (20F17)

Cites Work

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• Finite groups with submodular Sylow subgroups
• On the products of \(\mathbb P\)-subnormal subgroups of finite groups.
• On the finite groups of supersoluble type.
• On finite groups with nilpotent Sylow-normalizers
• Finite soluble groups
• Finite groups with subnormal residuals of Sylow normalizers
• On factorised finite groups
• Classes of finite groups with generalized subnormal cyclic primary subgroups.
• Endliche Gruppen I

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