Geodesic
On groups with isomorphic holomorphs
Matematičeskie zametki, Tome 62 (1997) no. 3, pp. 343-350.

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Groups with isomorphic holomorphs are said to be holomorphically isomorphic. The following problems are treated. 1) What Abelian groups have the property that their holomorphic isomorphism implies the isomorphism of the groups themselves? 2) Does holomorphic isomorphism of two groups, one of which is Abelian, imply the commutativity of the other group? Classes of groups are selected for which the answers to these questions are positive. 
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I. Kh. Bekker; V. N. Nedov. On groups with isomorphic holomorphs. Matematičeskie zametki, Tome 62 (1997) no. 3, pp. 343-350. http://geodesic.mathdoc.fr/item/MZM_1997_62_3_a2/

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