Journal article
A New Maximal Subgroup of E8 in Characteristic 3
Proceedings of the American Mathematical Society, Vol.150(4), pp.1435-1448
04/01/2022
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 in characteristic 3. This has type 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 = D-3(4)(2), namely that if H embeds in E-8 (in any characteristic p) and has two composition factors on the adjoint module then p = 3 and H lies in a conjugate of this new maximal F-4 subgroup.
Details
- Title: Subtitle
- A New Maximal Subgroup of E8 in Characteristic 3
- Creators
- David A. Craven - Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, EnglandDavid Stewart - University of Newcastle AustraliaAdam R. Thomas - Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England
- 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
- Number of pages
- 14
- Grant note
- Royal Society; Royal Society UK
- Language
- English
- Date published
- 04/01/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984274824502771
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