正则曲线上群作用的几何熵(英文)  

Geometric Entropy of Group Actions on Regular Curves

作　　者：王苏华[1] 周丽珍[1] 周友成[1] 

机构地区：[1]苏州大学数学科学学院,苏州江苏215006

出　　处：《数学进展》2010年第4期467-471,共5页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.10801103,NO.10871142);the Natural Sciences Fund for Colleges and Universities in Jiangsu Province(No.08KJB110010)

摘　　要：本文证明了正则曲线上有限生成群作用的几何熵以作用群的增长率为上界,并由此推出正则曲线上有限生成幂零群作用的几何熵为0.It is shown that the geometric entropy of a finitely generated group action on a regular curve is bounded from above by the growth rate of the acting group.As a corollary, the geometric entropy of each finitely generated nilpotent group action on any regular curve is zero.

关 键 词：几何熵 正则曲线 群作用 幂零群 

分 类 号：O189.11[理学—数学]