2~4p阶群的类型(Ⅰ)——p为奇素数,且Sylow子群正规

Type of Groups of Order 2~4 p(Ⅰ) ——p is a Prime Number and Sylow Subgroup is Normal

本文用群论的理论和方法研究2~4p阶群的分类。给出了Sylow子群正规时所有2~4p群的定义关系。

In this paper general theory and methods of groups was used to discuss the classificationof groups of order 2~4 p(p is a prime number,p≠2). The defining relations of all groups of order2~4 p was given, when the Sylow p-subgroups of which is normal.