Torsion free groups generated by a pair of rational parabolic Mobius transformations

被引：0

作者：

Bamberg, J ^{[1
]}

Cairns, G ^{[1
]}

机构：

[1] La Trobe Univ, Sch Math, Melbourne, Vic 3083, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2000年 / 61卷 / 01期

关键词：

D O I：

10.1017/S0004972700022097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a subgroup of PSL(2, Q) generated by a pair of rational parabolic matrices P-1,P-2, and let J be the Jorgensen number. We prove that T has a non-trivial element of finite order if and only if J = 4/n(2) or J = 9/n(2) for some non-zero integer n.

引用

页码：151 / 152

页数：2

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