一类基于第三十八家族群的扩张

EXTENSION THE ORDER OF P^6-GROUP OF THIRTY-EIGHT FAMILY GROUP

对p^6阶第三十八家族群中定义的关系进行扩张,得到一类新的非交换p-群。利用群的扩张理论和Van Dyek自由群理论证明该群的存在性,最后通过性质验证它们都是LA-群。

We generalized the defining relations of the group of thirty-eight family of order- p6, in order to obtain a new series of p -groups. Furthermore, we proved the existence of extended group by using the extension theory of group and the accuracy of free group theory. Eventually we proved that the groups are new LA-groups by some properties.