On the Classification Problem for Rank 2 Torsion-Free Abelian Groups

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. 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, +).

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1112/S0024610700001411	DOI	Article

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).

Funders:

Funding Agency	Grant Number
NSF	DMS-9619880

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Classification Code:

2000 Mathematics Subject Classification: 20K15.

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

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ID Code:

28263

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

13 Apr 2012 18:02

Last Modified:

02 Dec 2019 21:07

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