Characterizations of \(\sigma \)-solvable finite groups

DOI10.1134/S000143462203021XOpenAlexW4224881469MaRDI QIDQ2133836

Alexander N. Skiba, Zhigang Wang, Inna N. Safonova, Wen-Bin Guo

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462203021x

zbMATH Keywords

finite group\( \sigma \)-solvable group\(K\)-\(\mathfrak{S}_{\sigma} \)-subnormal subgroupgroups of equal orderweakly \(K\)-\(\mathfrak{S}_{\sigma} \)-subnormal subgroup

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Abstract finite groups (20Dxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

• Products of finite groups.
• Submodular subgroups in finite groups
• Finite soluble groups
• Groups in which Sylow subgroups and subnormal subgroups permute.
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Subgroup lattices of groups
• \(C\)-normality of groups and its properties
• \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups
• On \(\sigma\)-subnormality criteria in finite \(\sigma\)-soluble groups
• On \(\sigma \)-subnormal subgroups of finite groups
• On \(\sigma \)-subnormal subgroups of finite 3'-groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On \(\tau_\sigma\)-quasinormal subgroups of finite groups
• Maximal nonnormal chains in finite groups
• Endliche Gruppen mit vielen modularen Untergruppen
• Structure Theory for Canonical Classes of Finite Groups
• On weakly $\sigma$-permutable subgroups of finite groups
• On weakly $\sigma$-quasinormal subgroups of finite groups
• A criterion for a finite group to be σ-soluble
• On a Theorem of Deskins
• On finite groups with σ-subnormal Schmidt subgroups
• Finite groups all of whose subgroups are σ-subnormal or σ-abnormal
• On σ-subnormal closure
• On finite groups with non-subnormal subgroups
• Classes of Finite Groups
• Endliche Gruppen I
• Finite groups with \(\sigma\)-subnormal Schmidt subgroups

This page was built for publication: Characterizations of \(\sigma \)-solvable finite groups