A new maximal subgroup of 𝐸₈ in characteristic 3

Autor:	David Craven, David Stewart, Adam Thomas
Rok vydání:	2022
Předmět:	Mathematics::Group Theory Applied Mathematics General Mathematics QA
Zdroj:	Proceedings of the American Mathematical Society. 150:1435-1448
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/15759
Popis:	We prove the existence and uniqueness up to conjugacy of a new maximal subgroup of the algebraic group of type E 8 E_8 in characteristic 3 3 . This has type F 4 F_4 , and was missing from previous lists of maximal subgroups produced by Seitz and Liebeck–Seitz. We also prove a result about the finite group H = 3 D 4 ( 2 ) H={}^3\!D_4(2) , namely that if H H embeds in E 8 E_8 (in any characteristic p p ) and has two composition factors on the adjoint module then p = 3 p=3 and H H lies in a conjugate of this new maximal F 4 F_4 subgroup.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65bfd52aee5514aa76125fc99e925ff0 https://doi.org/10.1090/proc/15759 Zobrazit plný text záznamu