ON BOUNDARIES OF COXETER GROUPS AND TOPOLOGICAL FRACTAL STRUCTURES

被引：3

作者：

Hosaka, Tetsuya ^{[1
]}

机构：

[1] Utsunomiya Univ, Fac Educ, Dept Math, Utsunomiya, Tochigi 3218505, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 02期

关键词：

Coxeter group; boundary; CAT(0) space; Davis complex; rank-one isometry; minimal; fractal;

D O I：

10.21099/tkbjm/1331658700

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, based on research on rank-one isometries by W. Ballmann and M. Brin and recent research on rank-one isometries of Coxeter groups by P. Caprace and K. Fujiwara, we study a topological fractal structure of boundaries of Coxeter groups. We also show that the limit-point set is dense in a boundary of a Coxeter group and introduce some observations on boundaries of CAT(0) groups with rank-one isometries.

引用

页码：153 / 160

页数：8

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