Mathematics – Group Theory
Scientific paper
2010-04-28
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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