On weakly m-σ-permutable subgroups of finite groups

DOI10.1080/00927872.2018.1498874zbMath1466.20015OpenAlexW2910942665MaRDI QIDQ5743042

Xianbiao Wei

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1498874

zbMATH Keywords

finite groupmodular subgroup\( \sigma\)-nilpotent group\( \sigma\)-soluble group\(m\)-\( \sigma\)-permutable subgroupweakly \( m\)-\( \sigma\)-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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

Laws of the lattices of \(\sigma \)-local formations of finite groups ⋮ Unnamed Item ⋮ On \(m\)-\(\sigma\)-embedded subgroups of finite groups ⋮ Finite groups with weakly m-σ-permutable subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Some new characterizations of PST-groups.
• Groups with maximal subgroups of Sylow subgroups \(\sigma\)-permutably embedded
• Cyclicity conditions for \(G\)-chief factors of normal subgroups of a group \(G\).
• On the \(\pi'\)-properties of a finite group possessing a Hall \(\pi\)-subgroup.
• Products of finite groups.
• A characterization of the hypercyclically embedded subgroups of finite groups.
• On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups.
• Groups with only {\(\sigma\)}-semipermutable and {\(\sigma\)}-abnormal subgroups
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Finite groups with certain subgroups of Sylow subgroups complemented.
• Finite soluble groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Subgroup lattices of groups
• \(C\)-normality of groups and its properties
• Finite groups with permutable complete Wielandt sets of subgroups.
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• On \(\tau_\sigma\)-quasinormal subgroups of finite groups
• On \(\Pi \)-quasinormal subgroups of finite groups
• A generalization of a Hall theorem
• Structure Theory for Canonical Classes of Finite Groups
• On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups
• On weakly $\sigma$-permutable subgroups of finite groups
• On finite groups with generalized σ-subnormal Schmidt subgroups
• Finite groups with given systems of σ-semipermutable subgroups
• On finite groups with σ-subnormal Schmidt subgroups
• Finite groups all of whose subgroups are σ-subnormal or σ-abnormal
• ON THE LATTICE OF -SUBNORMAL SUBGROUPS OF A FINITE GROUP
• Classes of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

This page was built for publication: On weakly m-σ-permutable subgroups of finite groups