Tariel Kemoklidze

On the Full Transitivity of a Cotorsion Hull

Abstract:
A cotorsion hull of the separable $p$-group $T$ is considered when $T$ is a direct sum of torsion-complete groups. It is proved that in the considered case its cotorsion hull is fully transitive if and only if $T$ is a direct sum of cyclic groups or is a torsion-complete group.

Keywords:
Cotorsion hull, torsion-complete group, full transitivity of a group.

MSC 2000: 20K10, 20K21