Torsion free abelian groups normally determined by their holomorphs
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2013), pp. 23-33
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In this paper, we study homogeneously decomposable into direct sums torsion free abelian groups that are normally determined by their holomorphs. Properties of normal abelian subgroups of holomorphs of torsion free abelian groups are also studied.
Keywords:
holomorph, almost holomorphically isomorphic groups, completely decomposable group, homogeneous group, type of a group.
@article{VTGU_2013_3_a2,
author = {S. Ya. Grinshpon and I. E. Grinshpon},
title = {Torsion free abelian groups normally determined by their holomorphs},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {23--33},
publisher = {mathdoc},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/}
}
TY - JOUR AU - S. Ya. Grinshpon AU - I. E. Grinshpon TI - Torsion free abelian groups normally determined by their holomorphs JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 23 EP - 33 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/ LA - ru ID - VTGU_2013_3_a2 ER -
%0 Journal Article %A S. Ya. Grinshpon %A I. E. Grinshpon %T Torsion free abelian groups normally determined by their holomorphs %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 23-33 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/ %G ru %F VTGU_2013_3_a2
S. Ya. Grinshpon; I. E. Grinshpon. Torsion free abelian groups normally determined by their holomorphs. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2013), pp. 23-33. http://geodesic.mathdoc.fr/item/VTGU_2013_3_a2/