Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism |
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Authors: | I E Grinshpon |
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Institution: | (1) Tomsk State University of Control System and Radioelectronics, Tomsk, Russia |
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Abstract: | 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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 3, pp. 9–16, 2007. |
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Keywords: | |
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