Excellence of G2 and F4
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 k L) is defined over k. We prove that groups of type G2 and F4 are excellent over any field k of characteristic other than 2 and 3.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.