University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > An octonionic construction of the group $^2\mathrm{E}_6(q)$.

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

Add to your list(s) Download to your calendar using vCal

  • UserYegor Stepanov, Queen Mary
  • ClockFriday 23 February 2018, 15:00-16:00
  • HouseCMS, 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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity