Fully invariant subgroups of separable Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1279-1305
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The new description of fully invariant subgroups and their lattice for Abelian $p$-groups without elements of infinite height and large subgroups and their lattice for arbitrary Abelian $p$-groups is obtained. Ulm–Kaplansky invariants of these subgroups are calculated. The full description of fully invariant subgroups and their lattice for separable torsion free Abelian groups is obtained.
@article{FPM_1998_4_4_a8,
author = {S. Ya. Grinshpon},
title = {Fully invariant subgroups of separable {Abelian} groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1279--1305},
publisher = {mathdoc},
volume = {4},
number = {4},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a8/}
}
S. Ya. Grinshpon. Fully invariant subgroups of separable Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1279-1305. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a8/