有关广义自同构群的一些结论Ⅱ

Some Results on Generalized Automorphism Groups Ⅱ

设G是一个群,φ是G到自身的一个双射,映射φ叫做G的一个广义自同构映射,如果对a,b∈G,等式(ab)φ=aφbφ和(ab)φ=bφaφ至少有一个成立.通过研究群的广义自同构群,该文得到了若干结果,推广了一些相关的经典结论.

Given a group G,a bijective mapping is φ：G→G is said to be a generalized automorphism from G to G if for any a,b in G,either（ab）φ=aφbφ or（ab）φ=bφaφ.By studying the generalized automorphism groups,we obtain some results which generalize some related classical theorems.