On a formula for the asymptotic dimension of free products

被引：9

作者：

Bell, GC ^{[1
]}

Dranishnikov, AN

Keesling, JE

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

FUNDAMENTA MATHEMATICAE | 2004年 / 183卷 / 01期

关键词：

D O I：

10.4064/fm183-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an exact formula for the asymptotic dimension (asdim) of a free product. Our main theorem states that if A and B are finitely generated groups with asdim A = n and asdim B less than or equal to n, then asdim (A * B) = max In., I).

引用

页码：39 / 45

页数：7

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