Conditions of Dedekindness of generalized norms in nonperiodic groups

DOI10.1142/S1793557119500931zbMath1491.20076OpenAlexW2916389653MaRDI QIDQ4631119

F. M. Lyman, M. G. Drushlyak, T. D. Lukashova

Publication date: 24 April 2019

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

Full work available at URL: https://doi.org/10.1142/s1793557119500931

zbMATH Keywords

norm of abelian noncyclic subgroupsgeneralized normnorm of groupnorm of infinite abelian subgroupsnorm of infinite subgroupsnorm of cyclic subgroups of nonprime ordernorm of infinite cyclic subgroupsnorm of noncyclic subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34)

Related Items (4)

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

Cites Work

• Über den Normalisator der subnormalen Untergruppen
• Die \(A\)-Norm einer Gruppe
• Ring analogues of Baer's norm and P. Hall's margins
• On the derived norm of a finite group
• Generalised norms in finite soluble groups.
• On the norm of decomposable subgroups in nonperiodic groups
• On the generalized norm of a finite group
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