On one criterion for the \(\sigma \)-nilpotency of a finite group

DOI10.1134/S0037446622010086OpenAlexW4210420305MaRDI QIDQ2071587

Sergey Fedorovich Kamornikov, Valentin Nikolaevich Tyutyanov

Publication date: 28 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0037446622010086

zbMATH Keywords

finite groupSylow subgroup\( \sigma \)-nilpotent group\( G \)-covering subgroup system

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Linear algebraic groups and related topics (20Gxx) Abstract finite groups (20Dxx)

Cites Work

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• \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Theorems Like Sylow's
• The local structure of finite groups of characteristic 2 type

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