On tori D0 in E6 (K) for fields K of characteristic two

被引：0

作者：

Alhuraiji, AbdulKarem ^{[1
]}

Bani-Ata, Mashhour Al-Ali ^{[1
]}

机构：

[1] Publ Author Appl Educ & Training, Dept Math, Adailiyah, Kuwait

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2022年 / 17卷 / 03期

关键词：

Generalized quadrangle; E-set; M-set; root involution; Fischer embedded; torus;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to give an explicit and elementary description for a torus D-0 in the Chevalley group E-6(K) for fields K of characteristic two, using the notion of root bases introduced in [2] and the generalized quadrangle (P, L). We use this construction to show that M = < W, D-0 > is Fischer embedded, or a 3-transposition group. Among other results we investigate the action of the Weyl group of type E-6 on the torus D-0. For more information about tori in E-6 (q*), see [4].

引用

页码：1475 / 1481

页数：7

共 4 条

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[2] A new existence proof of Fi22 in 2E6(2), a computational approach [J].

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COMMUNICATIONS IN ALGEBRA, 2020, 48 (07) :2766-2780

[3]

Bani-Ata M, 2022, J LIE THEORY, V32, P75

[4] On Splitting of the Normalizer of a Maximal Torus in E6(q) [J].

Galt, Alexey ;

Staroletov, Alexey .

ALGEBRA COLLOQUIUM, 2019, 26 (02) :329-350

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