On growth of groups with few relators

被引：5

作者：

Wilson, JS ^{[1
]}

机构：

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

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2004年 / 36卷

关键词：

D O I：

10.1112/S0024609303002674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group that has a presentation with n generators and m relators, where m < n, and let S be an arbitrary generating set for G. Then some subset of n - m elements of S freely generates a free subgroup of G. This leads to the proof of a conjecture of Gromov on growth of groups.

引用

页码：1 / 2

页数：2

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