Title

The Duals of Almost Completely Decomposable Groups

Document Type

Peer-Reviewed Article

Publication Date

1997

Abstract

In this paper, we classify the direct products of one-dimensional compact connected abelian groups by cardinal invariants dualizing Baer’s classification theorem of completely decomposable groups. Almost completely decomposable groups are finite rank torsion-free abelian groups which contain a completely decomposable group of finite index. An isomorphism theorem for their Pontrjagin dual groups is given by using the dual concept of a regulating subgroup.

DOI

10.1007/s000130050067


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