On K-\(\mathbb P\)-subnormal subgroups of finite groups.

DOI10.1134/S0001434614030195zbMath1330.20033OpenAlexW2041306316MaRDI QIDQ2342002

Valentin Nikolaevich Tyutyanov, A. F. Vasil'ev, T. I. Vasil'eva

Publication date: 8 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614030195

zbMATH Keywords

finite groupsnormal subgroupsSylow subgroupsproducts of subgroupssupersolvable groupsformations of groupschains of subgroupsK-\(\mathbb P\)-subnormal subgroupssubgroups of prime index

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) Products of subgroups of abstract finite groups (20D40)

Related Items (10)

Finite factorizable groups with solvable \(\mathrm K\mathbb P^2\)-subnormal subgroups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On factorised finite groups ⋮ On submodularity and \(K \mathfrak{F} \)-subnormality in finite groups ⋮ Finite groups with formation subnormal normalizers of Sylow subgroups ⋮ Finite groups with generalized subnormal embedding of Sylow subgroups ⋮ Subgroups of the Fan of Sylow subgroups and the supersolvability of a finite group ⋮ Unnamed Item ⋮ Finite groups with submodular Sylow subgroups

Cites Work

• Classes of finite groups and their properties
• Finite soluble groups
• Subgroup lattices of finite groups which properly contain the lattice of subnormal subgroups
• Classes of Finite Groups
• Unnamed Item

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