  Let G denote a connected reductive algebraic group over an algebraically
closed field k and let X denote a projective G x G-equivariant embedding of G.
The large Schubert varieties in X are the closures of the double cosets BgB,
where B denotes a Borel subgroup of G, and g is in G. We prove that these
varieties are globally F-regular in positive characteristic, resp. of globally
F-regular type in characteristic 0. As a consequence, the large Schubert
varieties are normal and
