Embedding Free Burnside Groups in Finitely Presented Groups

被引：0
作者：
S. V. Ivanov
机构：
[1] University of Illinois Urbana,Department of Mathematics
来源：
Geometriae Dedicata | 2005年 / 111卷
关键词：
finitely presented groups; amenable groups; free Burnside groups; primary: 20E06; 20F05; 20F06; 20F50; secondary: 43A07; 20F38;
D O I：
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中图分类号：
学科分类号：
摘要：
We construct an embedding of a free Burnside group B(m,n) of odd exponent n > 248 and rank m >1 in a finitely presented group with some special properties. The main application of this embedding is an easy construction of finitely presented nonamenable groups without noncyclic free subgroups (which provides a new finitely presented counterexample to the von Neumann problem on amenable groups). As another application, we construct weakly finitely presented groups of odd exponent n ≫ 1 which are not locally finite.
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页码：87 / 105
页数：18
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