Geodesic
Classification of self-dual torsion-free LCA groups
Sheng L. Wu1
1 Department of Mathematics University of Oregon Eugene, Oregon 97403 U.S.A.
Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 255-278.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-140-3-255-278

Sheng L. Wu 1

1 Department of Mathematics University of Oregon Eugene, Oregon 97403 U.S.A. 
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Sheng L.  Wu. Classification of self-dual torsion-free LCA groups. Fundamenta Mathematicae, Tome 140 (1991) no. 3, pp. 255-278. doi : 10.4064/fm-140-3-255-278. http://geodesic.mathdoc.fr/articles/10.4064/fm-140-3-255-278/

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