Geodesic
Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 9-16

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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. 
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     author = {I. \`E. Grinshpon},
     title = {Normal subgroups of holomorphs of {Abelian} groups and almost holomorphic isomorphism},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a1/}
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I. È. Grinshpon. Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 9-16. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a1/