Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities

被引：12

作者：

Bridson, MR ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 1999年 / 214卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

D O I：

10.1006/jabr.1998.7710

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the higher finiteness properties of a group (in contrast to the sub-quadratic case). (C) 1999 Academic Press.

引用

页码：652 / 667

页数：16

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