一类基于p^6阶二十七家族群的推广

A class based on the group of twenty-seven family of order p^6 to generalize

对p6阶二十七家族群中定义关系进行推广,利用群的扩张理论与自由群理论分别证明了扩张后的群的存在性与定义关系的准确性,得到了一系列新的p-群,并给出了它们的一些性质。

We generalized the defining relations of the group of twenty-sevenfamily of order p^6 then proved the existence of extended group using the extension theory and the accuracy of the defining relations using free group theory,a new series of p-group are obtained. And some properties are given.