On the norm of decomposable subgroups in locally finite groups

DOI10.1007/S11253-015-1099-8zbMath1355.20026OpenAlexW2287552907MaRDI QIDQ325976

T. D. Lukashova, F. N. Liman

Publication date: 12 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1099-8

zbMATH Keywords

locally finite groupsnorm of abelian noncyclic subgroupsnorm of decomposable subgroupsperiodic locally nilpotent groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Nilpotent groups (20F18)

Related Items (6)

On the norm of decomposable subgroups in nonperiodic groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups ⋮ Unnamed Item ⋮ Nonperiodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups

Cites Work

• Groups in which every decomposable subgroup is invariant
• On Frobenius groups
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