To the problem of stable elements in free nilpotent group F3, 12

It is known that there are nontrivial stable elements in free nilpotent group of rank 3 and stage 12. Herewith, the distinctive feature of all these elements is homogeneity entrance of generatrices in these elements. In the article we considered the characteristic subgroup of this group, which include elements of a special kind. We also studied the problem of existence stable elements with in homogeneous generatrices entrance in the above mentioned subgroup.