中文摘要：

LA猜想是有限p群中一个著名的猜想.主要依据At（t≤3）群的分类,结合各类群的特点,通过计算其自同构群的子群或其自同构群的阶,证明了A1、A2、A3群满足LA猜想。

英文摘要：

LA-conjeeture is famous in finite p-groups. According to the classification of A, （t ≤3 ）-groups ,the orders of automorphism groups and its subsets are calculated. At the same time,combined with the characteristics of each group, LA-conjecture is proved to be true for A, （ t≤3 ） -groups.