一类新p-群的自同构群的最佳下界

The Low Boundary of the Automorphism of A Class of New-group

本文得到了中心非循环且中心商同构于p^6阶第十四家族的新的有限p-群结构,运用群扩张理论和自由群理论证明了新群的存在性,特别的,证明了此类群为LA-群。

A new finite group was given, whose center is non-cyclic and the central quotient is isomorphic to which order is ; then, the existence of the new group was proven by extension theory of group and free group the- ory; especially, the new group is LA-group was investigated.