Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings

被引：2

作者：

Stavrova, Anastasia ^{[1
]}

机构：

[1] St Petersburg State Univ, Dept Math & Mech, Peterhof 198504, Russia

来源：

ALGEBRA COLLOQUIUM | 2009年 / 16卷 / 04期

关键词：

Chevalley group; parabolic subgroup; unipotent radical; Levi subgroup; COMMUTATIVE RINGS;

D O I：

10.1142/S1005386709000595

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the normal structure of maximal parabolic subgroups of a Chevalley group over a commutative ring. More precisely, we describe the subgroups of a maximal parabolic subgroup P normalized by the elementary part of its Levi subgroup. As a corollary, we obtain a description of the subgroups in P normalized by its elementary subgroup EP.

引用

页码：631 / 648

页数：18

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