Criterion of subnormality in a finite group: reduction to elementary binary partitions

DOI10.1134/S0081543821030202OpenAlexW3186473670MaRDI QIDQ2043636

Yanyan Li

Publication date: 3 August 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821030202

zbMATH Keywords

finite groupsubnormal subgroup\( \sigma \)-subnormal subgroupelementary binary partition

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Combinatorics (05-XX)

Related Items (2)

On \(\sigma\)-subnormality criteria in finite groups ⋮ \(G\)-covering subgroup systems for the class of all \(\sigma \)-nilpotent finite groups

Cites Work

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• A proof of the Kegel-Wielandt conjecture on subnormal subgroups
• Permutability of subgroups and \(\mathfrak F\)-subnormality
• Criteria for subnormality in finite groups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Classes of Finite Groups

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