Geodesic
On the Similarity of Almost Holomorphically Isomorphic Direct Products of Torsion Free Groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 31-38

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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. The similarity of almost holomorphically isomorphic direct products of torsion free abelian groups from some class is studied. Besides the problem of determinateness of a group by its holomorph is considered.
Mots-clés : torsion free abelian group
Keywords: holomorph, direct product, similarity of groups, transitive group, homogeneous group, rank. 
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     author = {I. \`E. Grinshpon},
     title = {On the {Similarity} of {Almost} {Holomorphically} {Isomorphic} {Direct} {Products} of {Torsion} {Free} {Groups}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {31--38},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
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I. È. Grinshpon. On the Similarity of Almost Holomorphically Isomorphic Direct Products of Torsion Free Groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 31-38. http://geodesic.mathdoc.fr/item/VTGU_2008_2_a3/