Brauer-Feit theorem

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There exists a function f: \mathbb{N} \times \mathbb{N} \to \mathbb{N} such that the following holds. If G is a finite group embedded in a group GL(n,K) where K has characteristic p and P is a p-Sylow subgroup of G, there exists an abelian subgroup of G whose index is at most f(n,|P|).