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Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic
International Mathematics Research Notices ( IF 1 ) Pub Date : 2020-02-20 , DOI: 10.1093/imrn/rnaa019
Reda Chaneb 1
Affiliation  

We show the existence of a unitriangular basic set for unipotent blocks simple reductive groups of classical type in bad characteristic with some exceptions. Then,we introduce an algorithm to count irreducible unipotent Brauer characters and we verify that this algorithm is effective for exceptional adjoint groups.

中文翻译:

不良特征有限约简群单能块的基本集

我们展示了具有坏特征的经典类型的单能块简单归约群的单位三角基本集的存在,但有一些例外。然后,我们引入了一种计算不可约单能 Brauer 字符的算法,并验证了该算法对异常伴随群是有效的。
更新日期:2020-02-20
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