Constructing finitely presented simple groups that contain Grigorchuk groups

被引：36

作者：

Röver, CE ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

JOURNAL OF ALGEBRA | 1999年 / 220卷 / 01期

关键词：

finitely presented infinite simple groups; Grigorchuk groups; torsion locally finite;

D O I：

10.1006/jabr.1999.7898

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct infinite finitely presented simple groups that have subgroups isomorphic to Grigorchuk groups. We also prove that up to one possible exception all previously known finitely presented simple groups are torsion locally finite. (C) 1999 Academic Press.

引用

页码：284 / 313

页数：30

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