SL(3,3) IS NOT A MAXIMAL SUBGROUP OF THE LIE GROUP OF TYPE F4

被引：2
|
作者：
COHEN, AM [1 ]
机构：
[1] CALTECH, SLOAN LAB, PASADENA, CA 91125 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 226卷
关键词：
D O I：
10.1016/0024-3795(95)00151-G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that SL(3, 3) does not occur in F-4(C) as a finite maximal subgroup by establishing that each subgroup isomorphic to SL(3,3) normalizes an elementary abelian subgroup of F-4(C) of order 27. We also show that SL(3, 3) acting with a feted action on the split Jordan algebra associated with F-4 for any field of characteristic not 2 or 3 preserves a unique Jordan algebra structure.
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页码：287 / 296
页数：10
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