Inductive blockwise Alperin weight condition for type B and odd primes
Inductive blockwise Alperin weight condition for type B and odd primes
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B 型和奇素数的归纳块式 Alperin 权重条件
DOI：
10.1016/j.jalgebra.2022.03.046
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发表时间：
2022
影响因子：
0.9
通讯作者：
Jiping Zhang
中科院分区：
文献类型：
--
作者：
Zhicheng Feng;Conghui Li;Jiping Zhang
利用Navarro-Tiep和Späth的约化定理，证明Alperin重量猜想及其分块版本的一种方法是对所有有限单群分别证明所谓的归纳Alperin重量条件和归纳分块Alperin重量条件.本文利用Brough和Späth最近给出的一个判别准则，建立了B型单群和奇素数的归纳块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 so-called inductive Alperin weight condition and inductive blockwise Alperin weight condition for all finite simple groups respectively. In this paper, we establish the inductive blockwise Alperin weight condition for simple groups of type B and odd primes, using a criterion given by Brough and Späth recently.