分裂扩张的稳定自同构群

THE STABLE AUTOMORPHISM GROUPS OF SPLITTING EXTENSION OF FINITE GROUPS

本文给出有限群的分裂的Ａｂｅｌ扩张的稳定自同构群的计算．作为应用，给出了循环群的半直积的自同构群的结构，它包括了若干已知结果，如文［１］的全部结果，并解决了［１］提出的问题．

In this paper, the stable automorphism groups of splitting extension of finite groups are given. As their applications, the authors give the structure of the automorphism groups of the semidirect product of cyclic groups. The results cover some known facts, e.g., all results in [1], and the problem presented in [1] is solved.