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

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

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/Logic/Number Theory seminar series.