Geodesic
Relative holomorphs of free abelian groups and their invariant subgroups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2015), pp. 41-45

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This article focuses on invariant subgroups of the relative holomorph of an abelian group. Some properties of an invariant subgroup of the relative holomorph are proved. We also prove that a free abelian group is determined by its relative holomorph.
Keywords: holomorph, relative holomorph, free abelian group, invariant subgroup, relative holomorphically isomorphic groups. 
@article{VTGU_2015_4_a4,
     author = {A. V. Razina},
     title = {Relative holomorphs of free abelian groups and their invariant subgroups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {41--45},
     publisher = {mathdoc},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2015_4_a4/}
}
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A. V. Razina. Relative holomorphs of free abelian groups and their invariant subgroups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2015), pp. 41-45. http://geodesic.mathdoc.fr/item/VTGU_2015_4_a4/