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In this paper we verify Navarro's refinement of the McKay conjecture forquasi-simple groups of Lie type in their defining characteristic. Navarro'srefinement takes into account the action of specific Galois automorphisms onthe characters present in the McKay conjecture. Our proof of this case of theconjecture relies on a character correspondence constructed by Maslowski.Building on this we verify the inductive condition for Navarro's refinement formost groups of Lie type in defining characteristic.

The Navarro refinement of the McKay conjecture for finite groups of Lie type in defining characteristic