We show that the 3-block of the sporadic simple Janko group J_4 with defectgroup C_3 x C_3, and the principal 3-block of the alternating group A_8 arePuig equivalent, answering a question posed in earlier work ofKoshitani-Kunugi-Waki. To accomplish this, we apply computational techniques,in particular an explicit version of the Brauer construction.
展开▼
机译:我们展示了与缺陷组C_3 x C_3的偶发的简单Janko组J_4的3块,以及交替组A_8 arepuig等同物的主要3块,回答了早期工作的问题,of Koshitani-kunugi-waki。为了实现这一点,我们应用计算技术,特别是浅谈辫子构造的明确版本。
展开▼