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	Embeddings of Kleinian groups with torsion
	Wang, SC ; Zhou, Q
	2001
关键词	cohopfian Kleinian group orbifold HYPERBOLIC GROUPS RIGIDITY
英文摘要	Rips conjectured that a non-elementary word hyperbolic group is cohopfian if and only if it is freely indecomposable. The results and examples in this paper show that cohopficity phenomenon in the case of word hyperbolic group with torsion is much more complicated than the conjecture. In particular, the cohopficity of such groups is not determined by the numbers of their ends and the cohopficity is not preserved by finite index subgroups. Our results and examples arise from Kleinian groups. Orbifold structures and orbifold maps are the new tools in our discussions.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 2; ARTICLE; 1; 21-34; 17
语种	英语
出处	SCI
出版者	acta mathematica sinica english series
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315117]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, SC,Zhou, Q. Embeddings of Kleinian groups with torsion. 2001-01-01.

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