Classification of self-dual torsion-free LCA groups

S. Wu

ArticleOriginal scientific text

Title

Classification of self-dual torsion-free LCA groups

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Affiliations

Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.

Abstract

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.

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http://matwbn.icm.edu.pl/ksiazki/fm/fm140/fm14035.pdf

Title

Classification of self-dual torsion-free LCA groups

Affiliations

Abstract

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