Relative holomorphs of free abelian groups and their invariant subgroups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2015), pp. 41-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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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/

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