\(G\)-covering subgroup systems for the class of all \(\sigma \)-nilpotent finite groups

DOI10.1134/S0001434622010266OpenAlexW4213418163MaRDI QIDQ2113421

Xiaolan Yi, Valentin Nikolaevich Tyutyanov, Sergey Fedorovich Kamornikov

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622010266

zbMATH Keywords

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

Mathematics Subject Classification ID

Abstract finite groups (20Dxx)

Cites Work

• Engelsche Elemente Noetherscher Gruppen
• Subgroups of prime power index in a simple group
• On finite groups with nilpotent Sylow-normalizers
• Subnormalität in faktorisierten endlichen Gruppen
• Finite soluble groups
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups
• Criterion of subnormality in a finite group: reduction to elementary binary partitions
• On sublattices of the subgroup lattice defined by formation Fitting sets
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Theorems Like Sylow's

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