Translation extensions of the classical modular group
Translation extensions of the classical modular group
复制标题
经典模群的翻译扩展
DOI：
10.1080/17476939208814574
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发表时间：
1992
影响因子：
0.9
通讯作者：
T. Pignataro
中科院分区：
文献类型：
--
作者：
T. Jørgensen;A. Lascurain;T. Pignataro
关于Jorgensen不等式是极值的Kleinian群类包括几何有限群的连续族以及无穷多个几何无限群，这样的群可以作为经典模群的扩张而得到。有些群，如Picard群，是余有限体积的，其他的例子是通过推广某些三角形群得到的。
The class of Kleinian groups which are extreme with respect to Jorgensen's inequality encompasses continuous families of geometrically finite groups as well as uncountably many geometrically infinite groups, Such groups may be obtained as extensions of the classical modular group.An infinite number of non-isomorphic extreme discrete groups arise this way; some, like the Picard group, are of co-finite volume.Other examples are obtained by extending certain triangle groups.