Excellence of G_2 and F_4

Details Excellence of G_2 and F_4 Excellence of G_2 and F_4

2010-04-28

arxiv.org/abs/1004.5084v1

Mathematics

Group Theory

to appear in "Muenster Journal of Mathematics"

Scientific paper

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.

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