On some aspects of the Kegel-Wielandt \(\sigma\)-problem

DOI10.1007/s11587-023-00796-8MaRDI QIDQ6635336

Sergey Fedorovich Kamornikov, Zhuyan Xu, Xiaolan Yi

Publication date: 9 November 2024

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

join-semilatticesubnormal subgroupHall \(\pi\)-subgroup\(\sigma\)-subnormalKegel-Wielandt \(\sigma\)-problem

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

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• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• A criterion for the existence of normal \(\pi\) -complements in finite groups
• A proof of the Kegel-Wielandt conjecture on subnormal subgroups
• Finite soluble groups
• On join properties of Hall \(\pi\)-subgroups of finite \(\pi\)-soluble groups
• On the Kegel-Wielandt \(\sigma\)-problem for binary partitions
• On \(\sigma \)-subnormal subgroups of finite groups
• On \(\sigma \)-subnormal subgroups of finite 3'-groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Solvability of groups of odd order
• A generalization of a Hall theorem
• Theorems Like Sylow's

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