**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

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