Finite groups all of whose subgroups are σ-subnormal or σ-abnormal

DOI10.1080/00927872.2016.1270956zbMath1378.20021OpenAlexW2562490250MaRDI QIDQ4977705

Xinwei Wu, Bin Hu, Jianhong Huang

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1270956

zbMATH Keywords

finite group\(\sigma\)-abnormal subgroup\(\sigma\)-nilpotent group\(\sigma\)-subnormal subgroup\(\sigma\)-Hall 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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (12)

Characterizations of \(\sigma \)-solvable finite groups ⋮ On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups ⋮ CLT\(_\sigma \)-group with \(\sigma\)-subnormal or self-normalizing subgroups ⋮ A criterion for a finite group to be σ-soluble ⋮ On weakly m-σ-permutable subgroups of finite groups ⋮ Characterizations of finite \(\sigma\)-nilpotent and \(\sigma\)-quasinilpotent groups ⋮ Finite groups with σ-Frobenius condition for non-normal σ-primary subgroups ⋮ Unnamed Item ⋮ On the generalized \(\sigma\)-Fitting subgroup of finite groups ⋮ On \({\Sigma}_t^{\sigma }\)-closed classes of finite groups ⋮ Finite groups with σ-abnormal or σ-subnormal σ-primary subgroups ⋮ On finite \(\sigma \)-tower groups

Cites Work

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• Groups with only normal and abnormal subgroups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• On one generalization of finite 𝔘-critical groups
• A generalization of a Hall theorem
• Structure Theory for Canonical Classes of Finite Groups
• Classes of Finite Groups
• Endliche Gruppen I

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