论文标题
B型和奇数的电感块状Alperin重量条件
Inductive blockwise Alperin weight condition for type B and odd primes
论文作者
论文摘要
通过减少Navarro-tiep和späth的定理,证明Alperin重量猜想的一种方法及其块版本是验证所有Finie简单组的共同值的电感Alperin重量条件和电感块状Alperin重量条件。在本文中,我们使用Brough andSpäth给出的标准,为简单类型的$ \ Mathsf B $和Odd Primes的简单组建立了感应性的Alperin重量条件。
By the reduction theorems of Navarro--Tiep and Späth, a way to prove the Alperin weight conjecture and its blockwise version is to verify the co-called inductive Alperin weight condition and inductive blockwise Alperin weight condition for all finie simple groups respectively. In this paper, we establish the inductive blockwise Alperin weight condition for simple groups of type $\mathsf B$ and odd primes, using a criterion given by Brough and Späth recently.