An octonionic construction of the group $^2\mathrm{E}_6(q)$.

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• Yegor Stepanov, Queen Mary
• Friday 23 February 2018, 15:00-16:00
• CMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

We utilise an octonionic construction of the finite simple group $\mathrm{E}6(q²)$ 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 $\mathbb{F}{q²}$. 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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