A characterization of Schottky groups
A characterization of Schottky groups
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肖特基群的表征
DOI：
10.1007/bf02788719
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发表时间：
1967
期刊：
影响因子：
--
通讯作者：
B. Maskit
中科院分区：
文献类型：
--
作者：
B. Maskit
（包括斜驶线）。从某种意义上说，这种描述是最好的。利用上述结果，V.Chuckrow [2]证明了存在自由的纯斜驶的M6bius变换的非连续生成群.自由但不纯斜驶的或纯斜驶但不自由的双生成克莱因群的例子是众所周知的。作者要感谢Lipman Bers提出这个问题。
cluded among the loxodromic). This characterization is in some sense the best possible. Using the above result, V. Chuckrow [2] proved that there exist finitely generated groups of M6bius transformations that are free and purely loxodromic, but are not discontinuous. Examples of finitely generated Kleinian groups that are free but not purely loxodromic, or purely loxodromic but not free, are well known. The author wishes to thank Lipman Bers for suggesting this problem.