论文标题
在敏感的麦凯 - 纳瓦罗的条件下,有限的谎言类型的定义特征
On the inductive McKay--Navarro condition for finite groups of Lie type in their defining characteristic
论文作者
论文摘要
麦凯 - 纳瓦罗的猜想是麦凯猜想的改进,该猜想还考虑了某些galois汽车的行动。我们在有限的谎言类型组中验证了具有特殊图形自动形态的定义特征中的敏感性mckay-navarro条件,Suzuki和Ree组,$ \ MATHSF {B} _N(2)$($ n \ geq 2 $),以及与非遗产类型的类型。这完成了对有限的谎言类型的定义特征的有限型组的归纳性mckay-navarro条件的验证。
The McKay--Navarro conjecture is a refinement of the McKay conjecture that additionally takes the action of some Galois automorphisms into account. We verify the inductive McKay--Navarro condition in the defining characteristic for the finite groups of Lie type with exceptional graph automorphisms, the Suzuki and Ree groups, $\mathsf{B}_n(2)$ ($n \geq 2$), and the groups of Lie type with non-generic Schur multiplier. This completes the verification of the inductive McKay--Navarro condition for the finite groups of Lie type in their defining characteristic.