Abstract

We study the direct product of the automorphism groups of a finite number of groups. This is always isomorphic to a subgroup of the automorphism group of the direct product of the initial groups and we provide various sufficient criteria for when the latter subgroup is actually the whole group.

中文翻译：

---

关于有限指数群的直接乘积的同构群

摘要

我们研究了有限组的同构群的直接乘积。这对于初始组的直接乘积的同构组的一个子组始终是同构的，并且当后一个子组实际上是整个组时，我们提供了各种充分的标准。