Discrete groups in βN

被引：3

作者：

Hindman, Neil ^{[1
]}

Strauss, Dona

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

[2] Univ Hull, Math Ctr, Kingston Upon Hull HU6 7RX, N Humberside, England

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 10期

基金：

美国国家科学基金会;

关键词：

discrete group; stone-Cech compactification;

D O I：

10.1016/j.topol.2005.12.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every maximal group in the smallest ideal of (beta N, +) contains 2(c) discrete copies of (Z, +) the closures of any two of which intersect only at the identity. We also show that the same conclusion applies to copies of the free group on two generators (and consequently the free group on countably many generators). (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2099 / 2103

页数：5