关于At（t≤3）群的LA猜想

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。%LA-conjecture is famous in finite p-groups.According to the classification of At(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 At(t≤3)-groups.