几类不同阶群的结构

The Structure of Several Groups of Different Orders

在有限群的研究中,群的结构在图论中有着重要的应用,因而正确分类不同阶的群结构十分重要,本文利用西罗定理,通过群扩张定理,给出了pq阶群两种可能的结构和4p阶群五种可能的结构。

In the study of finite groups, the structure of groups has important applications in graph theory, so it is very important to classify the structure of groups of different order correctly. In this paper, two possible structures of groups of order pq and five possible structures of groups of order 4p are given by using Sylow theorem and group expansion theorem.