On weakly \(\tau\)-quasinormal subgroups of finite groups.

DOI10.1007/S10474-009-9008-YzbMath1207.20009OpenAlexW2098615036MaRDI QIDQ624207

Vladimir O. Lukyanenko, Alexander N. Skiba

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-9008-y

zbMATH Keywords

Sylow subgroupssubnormal subgroupssaturated formationspermutable subgroupsgeneralized Fitting subgroupsupplemented subgroupssupersoluble groupsweakly quasinormal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

On \(\tau_\sigma\)-quasinormal subgroups of finite groups ⋮ On weakly \(S\)-embedded and weakly \(\tau\)-embedded subgroups. ⋮ Finite groups in which SS-permutability is a transitive relation. ⋮ Finite groups in which \(\tau\)-quasinormality is a transitive relation. ⋮ \(\mathfrak{F}_{\tau}\)-embedded and \(\mathfrak{F}_{\tau\phi}\)-embedded subgroups of finite groups ⋮ On finite groups with some primary subgroups satisfying partialS-Π-property ⋮ Some new characterizations of solvable PST-groups. ⋮ Finite groups with given weakly $\tau_{\sigma}$-quasinormal subgroups ⋮ Unnamed Item ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ On \(p\)-supersolvability of finite groups.

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