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Psl(2,q) quotients of some hyperbolic tetrahedral and coxeter groups

 

作者: Luisa Paoluzzi,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 3  

页码: 759-778

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826162

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: tetrahedral group;Coxeter group;hyperbolic 3-manifolci and hyperbolic 3-orbifold;Primary 57M99;Secondary 20F55;Secondary 20H15

 

数据来源: Taylor

 

摘要:

We classify quotients of typePSL(2,q) andPGL(2,q) with torsion-free kernel for four of the nine hyperbolic tetrahedral groups. Using this result, we give a classification of the quotients with torsion-free kernel of typePSL(2q) ×Z2of the associated Coxeter or reflection groups. These do not admit quotients of typePSL(2,q),PGL(2,q). We also study quotients of typePSL(2,q) andPGL(2,q) of the fundamental group of the hyperbolic 3-orbifold of minimal known volume.

 

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