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ON THE CLASSIFICATION PROBLEM FOR RANK 2 TORSION-FREE ABELIAN GROUPS

Published online by Cambridge University Press:  09 January 2001

ALEXANDER S. KECHRIS
ALEXANDER S. KECHRIS
Affiliation:
Department of Mathematics, Caltech, Pasadena, CA 91125, USA
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Abstract

We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (ℚn, +), for some n = 1, 2, 3,…. The torsion-free abelian groups of rank [les ] n are the subgroups of (ℚn, +).

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 437 - 450
Copyright
The London Mathematical Society 2000

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