Kechris, Alexander S. (2000) On the Classification Problem for Rank 2 Torsion-Free Abelian Groups. Journal of the London Mathematical Society, 62 (2). pp. 437-450. ISSN 0024-6107. doi:10.1112/S0024610700001411. https://resolver.caltech.edu/CaltechAUTHORS:20111201-082818221
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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, +).
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| 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). | ||||||
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| Issue or Number: | 2 | ||||||
| Classification Code: | 2000 Mathematics Subject Classification: 20K15. | ||||||
| DOI: | 10.1112/S0024610700001411 | ||||||
| Record Number: | CaltechAUTHORS:20111201-082818221 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111201-082818221 | ||||||
| Official Citation: | Kechris, A. S. (2000), On the Classification Problem for Rank 2 Torsion‐Free Abelian Groups. Journal of the London Mathematical Society, 62: 437-450. doi:10.1112/S0024610700001411 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 28263 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 13 Apr 2012 18:02 | ||||||
| Last Modified: | 09 Nov 2021 16:55 |
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