The duals of Warfield groups

Peter Loth

Vol. 181 (1997), No. 2, 333–356

DOI: 10.2140/pjm.1997.181.333

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.

Milestones

Received: 3 June 1996

Revised: 4 December 1996

Published: 1 December 1997