Groups with small deviation for non-subnormal subgroups.

DOI10.2478/s11533-009-0012-9zbMath1195.20032OpenAlexW1998253147MaRDI QIDQ1040194

Leonid A. Kurdachenko, Howard Smith

Publication date: 24 November 2009

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0012-9

zbMATH Keywords

soluble groupslocally nilpotent groupssmall deviationminimal conditionnon-subnormal deviation of groupsnon-subnormal subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

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Cites Work

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• Groups with few non-nilpotent subgroups
• Groups with every Subgroup Subnormal
• GROUPS IN WHICH ALL SUBGROUPS OF INFINITE RANK ARE SUBNORMAL
• Cotorsion modules
• Injective modules and soluble groups satisfying the minimal condition for normal subgroups
• Torsion-free groups with all subgroups subnormal

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