Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order

DOI10.30970/ms.58.1.36-44OpenAlexW4308009544MaRDI QIDQ2691148

Yanyan Li

Publication date: 29 March 2023

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

Full work available at URL: https://doi.org/10.30970/ms.58.1.36-44

zbMATH Keywords

non-periodic groupsgeneralized norm of groupnorm of cyclic subgroups of non-prime order

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Automorphisms of infinite groups (20E36)

Cites Work

• The metanorm and its influence on the group structure
• The metanorm, a characteristic subgroup: embedding properties
• Nonperiodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
• On the norm of decomposable subgroups in nonperiodic groups
• Conditions of Dedekindness of generalized norms in nonperiodic groups
• On the non-cyclic norm in non-periodic groups
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