Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic ∗
Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic ∗
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非定义特征中3维特殊酉群的不可约布劳尔特征*
DOI：
10.1080/00927879008823932
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发表时间：
1990
影响因子：
0.7
通讯作者：
M. Geck
中科院分区：
文献类型：
--
作者：
M. Geck
本文的目的是研究特殊酉群SU(3，Q2)在奇素数r不除q时的r-模Brauer性，证明了在r-‖q+1的情况下在主r-块上遇到了意想不到的困难，并给出了一些解决这个问题的方法，这些方法至少足以解决无限个素数幂q的问题。
The purpose of this paper is to study the r-modular Brauer character of the special unitary groups SU(3, q2) for odd primes r not dividing q. It turns out that we encounter unexpected difficulties in the principal r-block in the case r‖q + 1. Some ways are described how to attack this problem, which are at least sufficient to solve the problem for an infinite number of prime powers q.