Gradewise Properties of Subgroups and Their Applications

DOI10.1142/S1005386717000141zbMath1384.20024OpenAlexW2609635733MaRDI QIDQ5267954

Alexander N. Skiba, Wen-Bin Guo

Publication date: 13 June 2017

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386717000141

zbMATH Keywords

finite groupsubgroup functorgradewise propertysubgroup bifunctor

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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

On some results in the theory of finite partially soluble groups

Cites Work

• Gradewise properties of subgroups of finite groups.
• On the \(\pi'\)-properties of a finite group possessing a Hall \(\pi\)-subgroup.
• Zur Sylowstruktur auflösbarer Gruppen
• Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups
• On permutable subgroups of finite groups.
• Some results on \(p\)-nilpotence and solubility of finite groups
• On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.
• Finite groups whose minimal subgroups are normal
• Automorphisms of quaternion-free 2-groups
• Unnamed Item

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