Excellence of G_2 and F_4
Group Theory
2015-03-17 v1
Abstract
A linear algebraic group G defined over a field k is said to be excellent if for every field extension L of k the anisotropic kernel of the group (G \otimes_k L) is defined over k. We prove that groups of type G_2 and F_4 are excellent over any field k of characteristic other than 2 and 3.
Cite
@article{arxiv.1004.5084,
title = {Excellence of G_2 and F_4},
author = {Shripad Garge},
journal= {arXiv preprint arXiv:1004.5084},
year = {2015}
}
Comments
to appear in "Muenster Journal of Mathematics"