Non-discrete complex hyperbolic triangle groups of type (m, m, ∞)

被引：2
|
作者：
Pratoussevitch, Anna [1 ]
机构：
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2011年 / 43卷
关键词：
D O I：
10.1112/blms/bdq107
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we prove that a complex hyperbolic triangle group of type (m, m, infinity), that is, a group of isometries of the complex hyperbolic plane, generated by complex reflections in three complex geodesics meeting at angles pi/m, pi/m and 0, is not discrete if the product of the three generators is regular elliptic.
引用
收藏
页码：359 / 363
页数：5
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