Published October 2000
| Published
Journal Article
Open
On the Classification Problem for Rank 2 Torsion-Free Abelian Groups
- Creators
-
Kechris, Alexander S.
Chicago
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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 (Q^n, +), for some n = 1, 2, 3,.... The torsion-free abelian groups of rank ≤ n are the subgroups of (Q^n, +).
Additional Information
© 2000 London Mathematical Society. Received 15 June 1999; revised 16 November 1999. Research partially supported by NSF Grant DMS 9619880. I would like to thank S. Adams and G. Hjorth for many helpful conversations and G. Mess for bringing up the idea of using groups of the form PSL_n(Z[1/p_1,...,1/p_n]) instead of PSL_n(Z).Attached Files
Published - KECjlms00.pdf
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Additional details
- Eprint ID
- 28263
- Resolver ID
- CaltechAUTHORS:20111201-082818221
- NSF
- DMS-9619880
- Created
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2012-04-13Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field