Abelian and metabelian groups with regular automorphisms and semiautomorphisms

In this paper we describe all abelian groups which can be expanded as the direct product of cyclic subgroups which have regular automorphisms of given prime order and also find the necessary and sufficient conditions for the existence of regular semiautomorphisms of prime order for metabelian groups the orders of the elements of which are bounded as a set.Translated from Matematicheskie Zametki, Vol. 12, No. 6, pp. 727–738, December, 1972.