Journal article
A new maximal subgroup of ₈ in characteristic 3
Proceedings of the American Mathematical Society, Vol.150(4), pp.1435-1448
04/2022
DOI: 10.1090/proc/15759
Abstract
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.
Details
- Title: Subtitle
- A new maximal subgroup of ₈ in characteristic 3
- Creators
- David CravenDavid StewartAdam Thomas
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.150(4), pp.1435-1448
- DOI
- 10.1090/proc/15759
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Grant note
- DOI: 10.13039/501100000288, name: Royal Society
- Language
- English
- Date published
- 04/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984274824502771
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