In this paper we seek to describe the structure of self-dual torsion-free LCA groups. We first present a proof of the structure theorem of self-dual torsion-free metric LCA groups. Then we generalize the structure theorem to a larger class of self-dual torsion-free LCA groups. We also give a characterization of torsion-free divisible LCA groups. Consequently, a complete classification of self-dual divisible LCA groups is obtained; and any self-dual torsion-free LCA group can be regarded as an open subgroup of a well-understood torsion-free divisible LCA group.
@article{bwmeta1.element.bwnjournal-article-fmv140i3p255bwm,
author = {S. Wu},
title = {Classification of self-dual torsion-free LCA groups},
journal = {Fundamenta Mathematicae},
volume = {141},
year = {1992},
pages = {255-278},
zbl = {0761.22005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv140i3p255bwm}
}
Wu, S. Classification of self-dual torsion-free LCA groups. Fundamenta Mathematicae, Tome 141 (1992) pp. 255-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv140i3p255bwm/
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