2-generator arithmetic Kleinian groups

被引：0

作者：

Maclachlan, C ^{[1
]}

Martin, GJ

机构：

[1] Univ Aberdeen, Dept Math Sci, Aberdeen AB24 3UE, Scotland

[2] Univ Auckland, Dept Math, Auckland, New Zealand

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 1999年 / 511卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that among the infinitely many conjugacy classes of finite co-volume Kleinian groups generated by two elements of finite order, there are only finitely many which are arithmetic. In particular there are only finitely many arithmetic generalized triangle groups. This latter result generalizes a theorem of Takeuchi.

引用

页码：95 / 117

页数：23

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