作用于球面上的有限群与正交群的有限子群
On finite groups acting on spheres and finite subgroups of orthogonal groups
摘要：
这是一个关于新旧结果的综述，以及各种相关基本概念和概念的介绍，基于2011年6月在克麦罗沃（克麦罗沃国立大学索博列夫数学研究所）和克拉斯诺亚尔斯克大学举行的国际几何与分析研讨会上的两次演讲。讨论了作用在低维球面上的有限群，并与相应的正交群的有限子群、有限单群作用在任意维球面和同调球面上的有限子群进行了比较.
英文摘要：
This is a survey on old and new results as well as an introduction to various related basic notions and concepts, based on two talks given at the International Workshop on Geometry and Analysis in Kemerovo (Sobolev Institute of Mathematics, Kemerovo State University) and at the University of Krasnojarsk in June 2011. We discuss finite groups acting on low-dimensional spheres, comparing with the finite subgroups of the corresponding orthogonal groups, and also finite simple groups acting on spheres and homology spheres of arbitrary dimension.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
