RANDOM GROUPS ARE NOT LEFT-ORDERABLE

被引：2

作者：

Orlef, Damian ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2017年 / 150卷 / 02期

关键词：

Gromov random groups; orderable groups;

D O I：

10.4064/cm7074-11-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that random groups in the Gromov density model at any density d have with overwhelming probability no non-trivial left-orderable quotients. In particular, random groups at densities d < 1/2 are not left-orderable.

引用

页码：175 / 185

页数：11

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