Subgroup-closed lattice formations.

DOI10.1016/J.JALGEBRA.2015.07.021zbMath1346.20017OpenAlexW1777037706MaRDI QIDQ745151

Xiaolan Yi, Sergey Fedorovich Kamornikov

Publication date: 13 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.07.021

zbMATH Keywords

saturated formationslattices of subgroupslattice formationsresidualschains of subgroupsformations of finite groups\(\mathfrak F\)-subnormal subgroupsK-\(\mathfrak F\)-subnormal subgroupssubgroup-closed formations

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (1)

On the \(\sigma \)-nilpotent hypercenter of finite groups

Cites Work

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• Any solubly saturated hereditary lattice formation is saturated.
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• The \(\mathfrak F\)-normalizers of a finite soluble group
• Classes of Finite Groups

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