On groups with formational subnormal Sylow subgroups

DOI10.1515/JGTH-2017-0039zbMath1468.20041OpenAlexW2767743979MaRDI QIDQ1705152

I. L. Sokhor, Victor S. Monakhov

Publication date: 14 March 2018

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2017-0039

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (4)

Unnamed Item ⋮ Finite groups with submodular primary subgroups ⋮ Finite groups with given sets of 𝔉-subnormal subgroups ⋮ Formations of finite groups in polynomial time: \(\mathfrak{F}\)-residuals and \(\mathfrak{F}\)-subnormality

Uses Software

• GAP

Cites Work

• Finite groups with \(\mathbb P\)-subnormal subgroups.
• Finite groups with generalized subnormal embedding of Sylow subgroups
• Finite groups with abnormal and \(\mathfrak{U}\)-subnormal subgroups
• On the finite groups of supersoluble type.
• Finite groups, whose primary subgroups are either \(F\)-subnormal or \(F\)-abnormal.
• Characterization of classes of finite groups with the use of generalized subnormal Sylow subgroups.
• Minimal non-\(\mathcal F\)-groups.
• Finite groups all of whose subgroups are \({\mathcal F}\)-subnormal or \({\mathcal F}\)-subabnormal
• Finite soluble groups
• Finite soluble groups with all n-maximal subgroups 𝔉${\mathfrak {F}}$-subnormal
• Classes of Finite Groups
• Endliche Gruppen I
• Indices of Maximal Subgroups of Finite Soluble Groups
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