2p^2阶群的g函数值

讨论了与Thompson猜想相关的同阶型群的问题，两个有限群阶型相同是否同构的问题，并且对有限群G，定义了G的g函数值g（G），表示与群G的阶型相同的有限群的同构类类数．利用2p^2阶群的结构完全分类，通过计算得出所有2p^2阶群的阶型，对任一2p^2阶群肘，得出了M的g函数值．

The g function values of groups with order 2p^2

In this article, we discuss a problem in relation to Thompson supposition, it is that when two finite groups with same order type, they are isomorphic or not, and we define g（G） as the g function value of finite group G, it represents the number of isomorphic classes that groups with the same order type to G. In this article we obtain the order type of groups with order 2p2 by computing their constructions, and obtain their g function values.