scientific article; zbMATH DE number 7268068

zbMath1454.20061MaRDI QIDQ5130698

T. D. Lukashova

Publication date: 28 October 2020

Full work available at URL: http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1527

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

locally soluble groupsnorm of decomposable subgroupsnon-periodic groupdecomposable groupnon-Dedekind groupnorm of abelian non-cyclic subgroupsgeneralized norms of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items

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

Cites Work

• On the norm of decomposable subgroups in locally finite groups
• The metanorm and its influence on the group structure
• The metanorm, a characteristic subgroup: embedding properties
• On the norm of decomposable subgroups in nonperiodic groups
• Groups in which every decomposable subgroup is invariant
• Conditions of Dedekindness of generalized norms in nonperiodic groups
• Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups
• Complements of Normal Subgroups in Infinite Groups
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