sentences:  Let "G" be a finite group, "p" be a prime, "F" be a "field" of characteristic "p".Let "H" be a subgroup of "G" which contains
  
  for some "p"-subgroup "Q"
  of "G," and is contained in the normalizer
  
  where formula_3 is the centralizer of "Q" in "G".The Brauer homomorphism (with respect to "H") is a linear map from the center of the group algebra of "G" over "F" to the corresponding algebra for "H".