Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China ; Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan
Abstract:
In this paper, we give a weak classification of locally linear pseudofree actions of the cyclic group of order on a surface, and prove the existence of such an action which cannot be realized as a smooth action on the standard smooth surface.