Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
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将双曲 Coxeter 群嵌入到二叉树和非周期平铺的乘积中
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
V. Schroeder
中科院分区：
文献类型：
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作者：
A. Dranishnikov;V. Schroeder
我们证明了一个双曲生成的直角双曲Coxeter群可以拟等距嵌入到n个二叉树的乘积中，其中n是的色数。作为应用，我们得到了这些群的Davis复形的某些强非周期镶嵌。
We prove that a finitely generated, right-angled, hyperbolic Coxeter group can be quasiisometrically embedded into the product of n binary trees, where n is the chromatic number of . As application we obtain certain strongly aperiodic tilings of the Davis complex of these groups.