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-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.
出处
《太原科技大学学报》
2016年第3期247-250,共4页
Journal of Taiyuan University of Science and Technology
基金
国家自然科学基金(71561008)
关键词
LA猜想
At群
自同构群
阶
LA-conjecture, At-groups , automorphism group, order