On one generalization of finite 𝔘-critical groups

DOI10.1142/S0219498816500638zbMath1361.20019arXiv1412.5469MaRDI QIDQ2797019

V. N. Semenchuk, Alexander N. Skiba

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5469

zbMATH Keywords

soluble groupsfinite groupsformations\(\mathfrak{U}\)-abnormal subgroups\(\mathfrak{U}\)-subnormal subgroups

Mathematics Subject Classification ID

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

Related Items (4)

Finite groups with formation subnormal primary subgroups ⋮ Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups ⋮ Finite groups all of whose subgroups are σ-subnormal or σ-abnormal ⋮ Finite groups with σ-abnormal or σ-subnormal σ-primary subgroups

Cites Work

• Finite groups, whose primary subgroups are either \(F\)-subnormal or \(F\)-abnormal.
• Finite soluble groups
• Finite groups with \(f\)-abnormal or \(f\)-subnormal subgroups
• Normalteiler und maximale Untergruppen endlicher Gruppen
• Classes of Finite Groups
• Endliche Gruppen I
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