The duals of almost completely decomposable groups |
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Authors: | Peter Loth |
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Institution: | (1) Department of Mathematics, Case Western Reserve University, 44106-7058 Cleveland, Ohio, USA |
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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. |
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Keywords: | Mathematics Subject Classification (1991)" target="_blank">Mathematics Subject Classification (1991) Primary 22B05 22D35 Secondary 20K15 20K20 |
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