论文标题
在电感块上的Alperin重量条件下，$ \ Mathsf a $
On the inductive blockwise Alperin weight condition for type $\mathsf A$
论文作者
论文摘要
在本文中，我们证明了有限的特殊线性和单一组的Alperin重量猜想，对于Abelian Sylow $ 3 $ -Subgroups的有限群体，并验证某些类型的$ \ \ Mathsf a $的类型组的电感块Alperin重量条件。我们还为特殊线性和统一组的两个块进行了分类。
In this paper we prove the blockwise Alperin weight conjecture for finite special linear and unitary groups, for finite groups with abelian Sylow $3$-subgroups, and verify the inductive blockwise Alperin weight condition for certain cases of groups of type $\mathsf A$. We also give a classification for the 2-blocks of special linear and unitary groups.
