On just infinite periodic locally soluble groups

被引：2

作者：

Grigorchuk, R. ^{[1
]}

Shumyatsky, P. ^{[2
]}

机构：

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

[2] Univ Brasilia, Dept Math, BR-70910 Brasilia, DF, Brazil

来源：

ARCHIV DER MATHEMATIK | 2017年 / 109卷 / 01期

关键词：

Just infinite groups; Locally finite groups; C*-algebras;

D O I：

10.1007/s00013-017-1043-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an uncountable family of periodic locally soluble groups which are hereditarily just infinite. We also show that the associated full C*-algebra C*(G) is just infinite for many groups G in this family.

引用

页码：19 / 27

页数：9

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