The structure of certain subgroups of the Picard group
The structure of certain subgroups of the Picard group
复制标题
皮卡德群某些子群的结构
DOI：
10.1017/s0305004100055250
复制
发表时间：
1978
影响因子：
0.8
通讯作者：
N. J. Wielenberg
中科院分区：
文献类型：
--
作者：
N. J. Wielenberg
A torsion-free discrete subgroup G of PSL(2, C) acts as a group of isometries of hyperbolic 3-space H3. The resulting quotient manifold M has H3 as its universal covering space with G as the group of cover transformations. We shall give examples where M has finite hyperbolic volume and is a link complement in S3. In these examples, G is a subgroup of the Picard group and in most cases is given as an HNN extension or a free product with amalgamation of kleinian groups with fuchsian groups as amalgamated or conjugated subgroups.
