On involutions of type O(q,k) over a field of characteristic two

Fixed point groups of involutions of type $\mathrm{O}(\mathrm{q},k)$ over a field of characteristic two

“…Here we summarize the results from [18] that we need to talk about the classification of the fixed points groups of each O(q, k)-conjugacy class of an involution.…”

“…We continue the discussion from [18] on O(q, k)-conjugacy classes of involutions of O(q, k), where k is a field of characteristic 2, and turn our focus to the fixed point groups of such involutions. The goal of this research is to describe generalized symmetric spaces of the form G(k)/H(k) where G is an algebraic group defined over a field k, H is the fixed point group of some automorphism of order 2 on G and G(k) (respectively H(k)) denotes the k-rational points of G (resp.…”