Asymptotic dimension of relatively hyperbolic groups
Asymptotic dimension of relatively hyperbolic groups
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DOI：
10.1155/imrn.2005.2143
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发表时间：
2004-11
影响因子：
1
通讯作者：
D. Osin
中科院分区：
文献类型：
--
作者：
D. Osin
假设一个群G相对于子群集合H\{H_1，.是双曲的H_m\} $。我们证明，如果每个子群H_1，...，H_m$有有限的渐近维数，则G$的渐近维数也是有限的.
Suppose that a finitely generated group $G$ is hyperbolic relative to a collection of subgroups $\{H_1, ..., H_m\} $. We prove that if each of the subgroups $H_1, ..., H_m$ has finite asymptotic dimension, then asymptotic dimension of $G$ is also finite.