Document Type

Article

Publication Date

1997

Abstract

A Warfield group is a direct summand of a simply presented abelian group. In this paper, we describe the Pontrjagin dual groups of Warfield groups, both for the p-local and the general case. A variety of characterizations of these dual groups is obtained. In addition, numerical invariants are given that distinguish between two such groups which are not topologically isomorphic.

Comments

This paper forms parts of the author's doctoral dissertation at Wesleyan University under the supervision of Dr. James D. Reid.

Published with permission of Pacific Journal of Mathematics.

Original publication citation: Loth, Peter. "The duals of Warfield groups." Pacific Journal of Mathematics. 181.2 (1997): 333-356.


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