Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 2000 | Published
Journal Article Open

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

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

Files

KECjlms00.pdf
Files (285.7 kB)
Name Size Download all
md5:b52c38628c832f3b6c3bff3577bcc610
285.7 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024