FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 9-16

**Normal subgroups of holomorphs of Abelian groups and almost
holomorphic isomorphism**

I. E. Grinshpon

Abstract

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Two groups are said to be almost holomorphically isomorphic if each
of them is isomorphic to a normal subgroup of the holomorph of
the other group.
In this paper, we study normal subgroups of holomorphs of Abelian
groups and highlight some torsion-free groups for which almost
holomorphic isomorphism implies isomorphism.
In addition, we consider the problem of determinateness of
a group by its holomorph.

Location: http://mech.math.msu.su/~fpm/eng/k07/k073/k07302h.htm

Last modified: June 19, 2007