Brauer's First Main Theorem
Brauer's first main theorem (Brauer 1944, 1956, 1970) states that if is a finite group a is a -subgroup of, then there is a bijection between the set of (characteristic p) blocks of with defect group and blocks of the normalizer with defect group D. This bijection arises because when, each block of G with defect group D has a unique Brauer correspondent block of H, which also has defect group D.
Read more about this topic: Brauer's Three Main Theorems
Famous quotes containing the words main and/or theorem:
“Literature does not exist in a vacuum. Writers as such have a definite social function exactly proportional to their ability as writers. This is their main use.”
—Ezra Pound (1885–1972)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)