Normalizers and self-normalizing subgroups II
Let be a field, G a reductive algebraic -group, and G 1 ≤ G a reductive subgroup. For G 1 ≤ G, the corresponding groups of -points, we study the normalizer N = N G(G 1). In particular, for a standard embedding of the odd orthogonal group G 1 = SO(m, ) in G = SL(m, ) we have N ≅ G 1 ⋊ µm(), the semidirect product of G 1 by the group of m-th roots of unity in . The normalizers of the even orthogonal and symplectic subgroup of SL(2n, ) were computed in [Širola B., Normalizers and self-normalizing...