Неперіодичні локально розв’язні групи з недедекіндовою локально нільпотентною нормою розкладних підгруп
Abstract
UDC 512.544 We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekind and locally nilpotent. We also describe the structure of nonperiodic locally soluble groups for which the norm of decomposable subgroups possesses the indicated properties.
Fields of Study & Subjects
Finite Group Theory Research
Rings
Modules
and Algebras
Advanced Topology and Set Theory
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 11
- Pages
- 1519–1528
- Publication date
- 9 February 2026
- Language
- UK