On isoperimetric profiles of finitely generated groups

被引：46

作者：

Erschler, A ^{[1
]}

机构：

[1] VA Steklov Math Inst, St Petersburg Branch, St Petersburg, Russia

来源：

GEOMETRIAE DEDICATA | 2003年 / 100卷 / 01期

关键词：

isoperimetric profile; Folner sets; amenable group; wreath product;

D O I：

10.1023/A:1025849602376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find up to multiplicative constant isoperimetric profiles of wreath products and related groups. Those are the first examples where the explicitly calculated asymptotics of isoperimetric profile is neither polynomial nor exponential.

引用

页码：157 / 171

页数：15

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