Constructions of torsion-free countable, amenable, weakly mixing groups

被引：3

作者：

Grigorchuk, Rostislav ^{[1
]}

Kravchenko, Rostyslav ^{[2
]}

Olshanskii, Alexander ^{[3
,4
]}

机构：

[1] Texas A&M Univ, Dept Math, Mailbox 3368, College Stn, TX 77843 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[3] Vanderbilt Univ, Dept Chem, Nashville, TN 37240 USA

[4] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

ENSEIGNEMENT MATHEMATIQUE | 2015年 / 61卷 / 3-4期

基金：

瑞士国家科学基金会;

关键词：

Weakly mixing group; WM group; minimally almost periodic group; variety of groups; verbal subgroup; torsion-free group; wreath product; orderable group;

D O I：

10.4171/LEM/61-3/4-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we construct countable, torsion-free, amenable, weakly mixing groups, which answer a question of V. Bergelson. Some results related to verbal subgroups and crystallographic groups are also presented.

引用

页码：321 / 342

页数：22

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