摘要
本文推广了Ｅｉｃｈｌｅｒ在Ｋｌｅｉｎ群的研究中所采用的上同调方法，对于Ｒｎ中的Ｍｂｉｕｓ变换群引进更为一般的线性上同调空间的概念．在此基础上，将作者早期的工作加以推广，研究Ｒｎ中Ｍｂｉｕｓ变换群的代数有限性，并作为特例给出高维Ｋｌｅｉｎ群有限性的一种代数判据．
In this paper, the method of cohomology space which is introduced in the research of Kleinian groups by M. Eichler generalized.The concept of linear cohomology space is introduced for groups of M o ¨bius transformations in R n. Then, we give a data about the algebraic finiteness of a group consist of M o ¨bius transformations in R n . This result generalizes an earlier result of author. As a special example, we give an algebraic data for the finiteness of higher dimension Kleinian groups.
出处
《数学进展》
CSCD
北大核心
1998年第5期431-438,共8页
Advances in Mathematics（China）
基金
1995年度湖南省自然科学基金
