TY - JOUR AU - F. N. Liman AU - T. D. Lukashova PY - 2015/12/25 Y2 - 2024/03/29 TI - On the norm of decomposable subgroups in nonperiodic groups JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 67 IS - 12 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2100 AB - We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. Inparticular, we analyze the influence of restrictions imposed on the norm of decomposable subgroups on the properties of thegroup provided that this norm is non-Dedekind. We also describe the structure of nonperiodic locally nilpotent groups forwhich the indicated norm is non-Dedekind . Furthermore, some relations between the norm of noncyclic Abelian subgroupsand the norm of decomposable subgroups are established. ER -