On strongly \(\Pi \)-permutable subgroups of a finite group

DOI10.1134/S0037446619040177zbMath1457.20020OpenAlexW2967639597MaRDI QIDQ2010212

Yanyan Li

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0037446619040177

zbMATH Keywords

finite groupsubgroup lattice\(\sigma\)-subnormal subgroupstrongly \(\Pi\)-permutable subgroup

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) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

A generalization of \(\sigma\)-permutability

Cites Work

• Products of finite groups.
• On finite soluble groups in which Sylow permutability is a transitive relation.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Finite soluble groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Modularity in the lattice of \(\Sigma\)-permutable subgroups.
• Subgroup lattices of groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On finite groups for which the lattice of \(S\)-permutable subgroups is distributive
• On some results in the theory of finite partially soluble groups
• On \(\Pi \)-quasinormal subgroups of finite groups

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