S. Ya. Grinshpon, I. E. Grinshpon, “Torsion free abelian groups normally determined by their holomorphs”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, Number 3(23),Pages <nobr>23

MATHEMATICS

Torsion free abelian groups normally determined by their holomorphs

S. Ya. Grinshpon^a, I. E. Grinshpon^b

^a Tomsk State University
^b Tomsk State University of Control Systems and Radioelectronics

Abstract: In this paper, we study homogeneously decomposable into direct sums torsion free abelian groups that are normally determined by their holomorphs. Properties of normal abelian subgroups of holomorphs of torsion free abelian groups are also studied.

Keywords: holomorph, almost holomorphically isomorphic groups, completely decomposable group, homogeneous group, type of a group.

UDC: 512.541

Received: 13.03.2013