Infinite locally finite groups groups with the given properties of the norm of abelian non-cyclic subgroups

DOI10.30970/MS.62.1.11-20MaRDI QIDQ6632365

M. G. Drushlyak, T. D. Lukashova

Publication date: 4 November 2024

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

locally nilpotent groupinfinite locally finite groupgeneralized norms of groupnorm of abelian non-cyclic subgroups of group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Automorphisms of infinite groups (20E36)

Cites Work

• On the norm of decomposable subgroups in locally finite groups
• Über den Normalisator der subnormalen Untergruppen
• The metanorm and its influence on the group structure
• Nonperiodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
• On finite 2-groups with non-Dedekind norm of abelian non-cyclic subgroups
• On the norm of decomposable subgroups in nonperiodic groups
• On locally finite groups with a minimality condition for Abelian subgroups
• On infinite groups with given properties of the norm of infinite subgroups
• Conditions of Dedekindness of generalized norms in nonperiodic groups
• Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
• Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups
• A Property of Locally Finite Groups
• Large norms in group theory
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