Any solubly saturated hereditary lattice formation is saturated.

DOI10.1134/S1064562410010278zbMath1203.20015MaRDI QIDQ606512

Sergey Fedorovich Kamornikov

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

soluble groupsfinite groupssubnormal subgroupssaturated formationslattices of subgroupslattice formationshereditary formationsformations of groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

Hereditary hyperradical formations ⋮ Subgroup-closed lattice formations.

Cites Work

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• A criterion for the existence of normal \(\pi\) -complements in finite groups
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• Eine Verallgemeinerung der invarianten Untergruppen
• Classes of Finite Groups

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