On submodularity and \(K \mathfrak{F} \)-subnormality in finite groups

DOI10.1134/S0081543823060159OpenAlexW4391761109MaRDI QIDQ6194915

I. L. Sokhor, Victor S. Monakhov

Publication date: 16 February 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543823060159

zbMATH Keywords

residualsubmodular subgroupformationsubnormal subgroup

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Finite groups with submodular Sylow subgroups
• Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups
• On the finite groups of supersoluble type.
• Submodular subgroups in finite groups
• Finite soluble groups
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• Subgroup lattices of groups
• Finite factorizable groups with \(\mathbb{P}\)-subnormal v-supersolvable and sh-supersolvable factors
• On K-\(\mathbb P\)-subnormal subgroups of finite groups.
• Classes of finite groups with generalized subnormal cyclic primary subgroups.
• Three formations over \(\mathfrak{U}\)
• Classes of Finite Groups
• On Formation Subgroups of a Finite Soluble Group
• Endliche Gruppen I
• Finite groups with submodular primary subgroups

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