The classification problem for S-local torsion-free abelian groups of finite rank

被引：3
作者：
Thomas, Simon [1 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 04期
基金：
美国国家科学基金会;
关键词：
Borel equivalence relation; Superrigidity; Torsion-free abelian group; BOREL EQUIVALENCE-RELATIONS;
D O I：
10.1016/j.aim.2010.10.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose that n >= 2 and that S, T are sets of primes. Then the classification problem for the S-local torsion-free abelian groups of rank n is Borel reducible to the classification problem for the T-local torsion-free abelian groups of rank n if and only if S subset of T. (C) 2010 Elsevier Inc. All rights reserved.
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收藏
页码：3699 / 3723
页数：25
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