An octonionic construction of the group $^2\mathrm{E}_6(q)$.
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 Yegor Stepanov, Queen Mary
 Friday 23 February 2018, 15:0016:00
 CMS, MR14.
If you have a question about this talk, please contact Nicolas DuprÃ©.
We utilise an octonionic construction of the finite simple group $\mathrm{E}6(q^{2})$ to construct the group $^{2}\mathrm{E}6(q)$ as a subgroup which preserves a certain Hermitean quadratic form defined on the elements of the Albert algebra over $\mathbb{F}{q^{2}}$. Along the way we also illuminate some of the subgroup structure.
This talk is part of the Junior Algebra and Number Theory seminar series.
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