\(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups

DOI10.1016/J.JALGEBRA.2021.06.010OpenAlexW3168933093MaRDI QIDQ2042931

Yanyan Li

Publication date: 22 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.06.010

zbMATH Keywords

finite group\(\sigma\)-nilpotent group\(\sigma\)-soluble group\(P\sigma T\)-group\(G\)-covering subgroup system

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (9)

Characterizations of \(\sigma \)-solvable finite groups ⋮ On finite Sylow tower and σ-tower groups ⋮ On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ Some notes on σ-soluble groups and σ-subnormality ⋮ Characterizations of some classes of finite σ -soluble PσT -groups ⋮ On one criterion for the \(\sigma \)-nilpotency of a finite group ⋮ On the \(\sigma \)-nilpotent hypercenter of finite groups ⋮ On finite \(\sigma \)-tower groups ⋮ \(G\)-covering subgroup systems for the class of all \(\sigma \)-nilpotent finite groups

Cites Work

• Unnamed Item
• Some new characterizations of PST-groups.
• Products of finite groups.
• Subnormal, permutable, and embedded subgroups in finite groups.
• Finite groups in which normality or quasinormality is transitive.
• Finite soluble groups
• Hall subgroups and \(\pi\)-separable groups
• Groups in which Sylow subgroups and subnormal subgroups permute.
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• Totally permutable products of finite groups satisfying SC or PST.
• The structure of finite groups in which permutability is a transitive relation
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Structure Theory for Canonical Classes of Finite Groups
• The Wielandt Subgroup of a Finite Soluble Group
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• A Local Approach to Certain Classes of Finite Groups
• Some characterizations of finite groups in which semipermutability is a transitive relation
• Classes of Finite Groups

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