  We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture
and Eaton's conjecture. We prove the real version of Eaton's conjecture for
2-blocks of groups with cyclic defect group and for the principal 2-blocks of
groups with trivial real core. We also characterize G-classes, real and
rational G-classes of the defect group of a block B.
