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2-generator arithmetic Kleinian groups

 

作者: C Maclachlan,   G.J Martin,  

 

期刊: Journal für die reine und angewandte Mathematik (Crelle's Journal)  （Degruyter Available online 1999）
卷期: Volume 1999, issue 511  

页码: 95-117

 

ISSN:0075-4102

 

年代: 1999

 

DOI:10.1515/crll.1999.511.95

 

出版商: Walter de Gruyter

 

数据来源: Degruyter

 

摘要:

AbstractWe 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 arearithmetic. In particular there are only finitely many arithmetic generalized triangle groups. This latter result generalizes a theorem of Takeuchi.

 

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