  We reformulate the inductive McKay condition, from Isaacs-Malle-Navarro, and
apply the new criterion to simple groups of Lie type, when the prime is the
defining characteristic p. Thereby we make use of a recent result of Maslowski.
This proves that these simple group satisfy the inductive McKay condition for
p. In the non simply-laced types and non-classical types this reproves earlier
results by Brunat and Brunat-Himstedt.
