Some notes on the rank of a finite soluble group

DOI10.1134/S0037446617050196zbMath1400.20010OpenAlexW2765731527MaRDI QIDQ1694721

Alexander N. Skiba, Li Zhang, Wen-Bin Guo

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446617050196

zbMATH Keywords

finite group\(\sigma\)-soluble group\(n\)-maximal subgroup\(\sigma\)-quasinormal subgrouprank of a soluble group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

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• Products of finite groups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• Finite groups whose minimal subgroups are normal
• Finite groups with invariant fourth maximal subgroups
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Structure Theory for Canonical Classes of Finite Groups
• Generalized Center and Hypercenter of a Finite Group
• Finite Groups Whose n-Maximal Subgroups are Subnormal
• Endliche Gruppen I
• Nilpotent Characteristic Subgroups of Finite Groups

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