论文标题
电感阿尔珀林重量条件的标准
A criterion for the inductive Alperin weight condition
论文作者
论文摘要
我们提供了一个标准，可以简化对剩余的谎言类型组的开放式案例的感应性Alperin重量条件的检查。它与已证明非常有用的归纳McKay条件的第二作者的标准密切相关。证明来自克利福德理论的权重，本质上存在于纳瓦罗 - tiep和第二作者给出的阿尔珀林权重猜想的证明中。我们还为电感块状Alperin重量条件提供了相关标准。
We give a criterion that simplifies the checking of the inductive Alperin weight condition for the remaining open cases of simple groups of Lie type. It is strongly related in form to the criterion of the second author for the inductive McKay conditions (see [Spä12,2.12]) that has proved very useful. The proof follows from a Clifford theory for weights intrinsically present in the proof of reduction theorems of the Alperin weight conjecture given by Navarro--Tiep and the second author. We also give a related criterion for the inductive blockwise Alperin weight condition.
