A NEW TYPE OF PRONORMAT SUBGROUPS IN CHEVALLEY GROUPS

被引：0

作者：

WANG DENGYIN Department of Mathematics Anhui University Hefei China ^{[230039
]}

机构：

来源：

Chinese Annals of Mathematics | 2001年 / 02期

关键词：

Chevalley groups; Root systems; Pronormal subgroups;

D O I：

暂无

中图分类号：

O152.3 [线性群论];

学科分类号：

070104 ;

摘要：

Let L be a simple Lie algebra with irreducible root system. having roots of different length, F be a field of charaCteristic different from 2, G = L(F) be a Chevalley group of type L over F. Denote by Φl the set of all long roots in Φl Set Gl = . It is a subgroup of G generated by all the long root subgroups. This paper determines the pronormality of Gl in G when L is not of type G2.

引用

页码：243 / 248

页数：6