On the Morita Frobenius numbers of blocks of finite reductive groups
On the Morita Frobenius numbers of blocks of finite reductive groups
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有限约简群块的 Morita Frobenius 数
DOI：
10.1016/j.jalgebra.2016.08.043
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Niamh Farrell
中科院分区：
文献类型：
--
作者：
Niamh Farrell
我们证明了交替群、定义特征中的李型有限群以及Ree群和Suzuki群的森田·弗罗贝尼乌斯数为1。我们还证明了几乎所有非定义特征中的李型有限群的单能块的森田·弗罗贝尼乌斯数为1，其余情况至多为2。
We show that the Morita Frobenius number of the blocks of the alternating groups, the finite groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also show that the Morita Frobenius number of almost all of the unipotent blocks of the finite groups of Lie type in non-defining characteristic is 1, and that in the remaining cases it is at most 2.