设G和H是给定的有限群,若φ是H到Gut(G)内的一个同态映射,就称φ为H在G的广义作用.通过研究群的广义作用,该文得到了若干结果,推广了群作用的某些结果.
Given groups G and H,if φ is a homomorphism mapping from H to Gut(G) we say that φ is a generalized acting of H on G.By studying the generalized acting of finite groups,we obtain some results which generalize some related theorems of groups acting.