Extensions of unipotent characters and the inductive McKay condition
Extensions of unipotent characters and the inductive McKay condition
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DOI：
10.1016/j.jalgebra.2008.06.033
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发表时间：
2008-10
影响因子：
0.9
通讯作者：
G. Malle
中科院分区：
文献类型：
--
作者：
G. Malle
证明了李型群的幂幺特征标推广到全自同构群中的惯性群。然后，我们应用这一点，以表明某些李型群对于素数p=3或p=2是好的。这涉及到所有的例外，我们的一般方法验证麦凯猜想的所有群体的李型在非定义特征。
We prove that unipotent characters of groups of Lie type extend to their inertia groups in the full automorphism group. We then apply this in order to show that certain groups of Lie type are good for the prime p=3 or p=2. This deals with all the exceptions not covered by our general approach for verifying the McKay conjecture for all groups of Lie type in non-defining characteristic.