摘要
用(G,X)表示一个群G作用在集合X上,并用F(g)表示被群G的元素g所稳定的点集.本文得到了关于数■F(g)|n的两个结果,并得到了这个数的几何意义.在某种意义上讲,它们是Burnside引理的推广.
Let (G,X) denote a group G acting on a set X, and let F(g) denote the set of all fixed points of g∈G. In thik note, we get two theorems about the mumber ■|F(g) |n and its geometric interpretation.