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.

引用

页码：3699 / 3723

页数：25

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