Real characters in blocks
  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. 
Laszlo Hethelyi, Erzsebet Horvath and Endre Szabo
math.RT math.GR