On root-involutions and root-subgroups of for fields of characteristic two

S Aldhafeeri, M Bani-Ata - Journal of algebra and its applications, 2019 - World Scientific
The purpose of this paper is to investigate the root-involutions and root-subgroups of the
Chevalley group E 6 (K) for fields K of characteristic two. The approach we follow is …

[HTML][HTML] On construction of maximal parabolic centralizers of root elements and the Weyl group of type F4 in E6 (K) for fields K of characteristic 2

A Alhuraiji, MAA Bani-Ata - Kuwait Journal of Science, 2023 - Elsevier
The purpose of this paper is to give an elementary and explicit construction of maximal
parabolic centralizers of root elements in the Chevalley group E 6 (K) and to show that the …

[PDF][PDF] The Action of the Chevalley Group E6 on the Singular Subspaces V2 of a 27-Dimensional Module Over a Field of Characteristic 2

A Alhuraiji, MAA Bani-Ata - Computer Science, 2024 - ijmcs.future-in-tech.net
The purpose of this paper is to use the notion of the generalized quadrangle (Ω, L) of type
O− 6 (2) to show that NE (A (B)) induces SL (A (B)) on A (B), where B is a coclique of Ω, A …

The stabilizer of two-dimensional vector space of 27-dimensional module of type over a field of characteristic two

Y Alkhezi, M Bani-Ata - Journal of Algebra and its Applications, 2021 - World Scientific
The purpose of this paper is to use the notion of M-sets (cocliques) introduced by the second
author in [S. Aldhafeeri and M. Bani-Ata, On the construction of Lie-algebras of type E 6 (K) …