Brauer's Three Main Theorems

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Brauer's Three Main Theorems

Brauer's main theorems are three theorems in representation theory of finite groups linking the blocks of a finite group (in characteristic p) with those of its p-local subgroups, that is to say, the normalizers of its non-trivial p-subgroups.

The second and third main theorems allow refinements of orthogonality relations for ordinary characters which may be applied in finite group theory. These do not presently admit a proof purely in terms of ordinary characters. All three main theorems are stated in terms of the Brauer correspondence.

Read more about Brauer's Three Main TheoremsBrauer Correspondence, Brauer's First Main Theorem, Brauer's Second Main Theorem, Brauer's Third Main Theorem

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