具有小中心商的有限p-群 On the Finite p-Group with a Small Central Quotient

假设G是一个有限非交换p-群，并且G的阶大于p2 ，如果|G| 整除|Aut(G)| ，那么称G为LA-群。本文考虑了二元生成的有限p-群 ，并且满足|G:Z(G)| =p5，其中素数p≥7 。我们证明了这样的有限p-群是LA-群。 Let G be a finite noncyclic p-group of order greater than p2 . If |G| divides |Aut(G)| , then G is called a LA-group. The purpose of this paper was to consider the class of p-group such that |G:Z(G)| =p5 with the prime p≥7 . We showed that such group G is LA-group.