The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic
The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic
复制标题
定义特征时有限李型群麦凯猜想的纳瓦罗精化
DOI：
10.1016/j.jalgebra.2021.04.025
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
L. Ruhstorfer
中科院分区：
文献类型：
--
作者：
L. Ruhstorfer
本文在Lie型拟单群的定义特征上验证了Navarro对McKay猜想的改进。Navarro的改进考虑了特定伽罗瓦自同构对McKay猜想[12]中出现的字符的作用。我们对这种猜想的证明依赖于马斯洛斯基在b[11]中构造的字符对应。在此基础上，我们验证了大多数Lie型群在定义特征时由[14]推导出的Navarro的归纳条件。
In this paper we verify Navarro's refinement of the McKay conjecture for quasi-simple groups of Lie type in their defining characteristic. Navarro's refinement takes into account the action of specific Galois automorphisms on the characters presents in the McKay conjecture [12]. Our proof of this case of the conjecture relies on a character correspondence constructed by Maslowski in [11]. Building on this we verify the inductive condition for Navarro's refinement from [14] for most groups of Lie type in defining characteristic.
Harish-Chandra 级数上的伽罗瓦自同构和 Navarro 的自归一化 Sylow $2$ 子群猜想
影响因子：
1.3
作者：
Schaeffer Fry, A. A.
通讯作者：
Schaeffer Fry, A. A.