A coloring property for countable groups

被引：20

作者：

Gao, Su ^{[1
]}

Jackson, Steve ^{[1
]}

Seward, Brandon ^{[1
]}

机构：

[1] Univ N Texas, Dept Math, Denton, TX 76203 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 147卷

关键词：

D O I：

10.1017/S0305004109002655

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by research on hyperfinite equivalence relations we define a coloring property for countable groups. We prove that every countable group has the coloring property. This implies a compactness theorem for closed complete sections of the free part of the shift action of G on 2(G). Our theorems generalize known results about Z.

引用

页码：579 / 592

页数：14