On the existence of \(G \)-permutable subgroups in simple sporadic groups

DOI10.1134/S0037446622040097OpenAlexW4288061073MaRDI QIDQ2160184

Yanyan Li

Publication date: 3 August 2022

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

Full work available at URL: https://doi.org/10.1134/s0037446622040097

zbMATH Keywords

simple sporadic group\( G \)-permutable subgrouphereditarily \(G \)-permutable subgroup

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Abstract finite groups (20Dxx) Structure and classification of infinite or finite groups (20Exx)

Related Items (5)

Finite groups with \(G\)-permutable Schmidt subgroups ⋮ On the existence of hereditarily \(G \)-permutable subgroups in exceptional groups \(G\) of Lie type ⋮ On the existence of \(G\)-permutable subgroups in alternating groups ⋮ Finite groups with hereditarily \(G\)-permutable minimal subgroups ⋮ On the solubility and supersolubility of finite groups

Uses Software

• ATLAS Group Representations

Cites Work

• Factorisations of sporadic simple groups.
• Finite soluble groups
• \(X\)-semipermutable subgroups of finite groups.
• Permutable subgroups of infinite groups
• Contributions to the theory of groups of finite order
• Theorems of Sylow type
• The maximal factorizations of the finite simple groups and their automorphism groups
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