On the inductive McKay-Navarro condition for finite groups of Lie type in their defining characteristic

The McKay-Navarro conjecture is a refinement of the McKay conjecture that additionally takes the action of some Galois automorphisms into account. We verify the inductive McKay- Navarro condition in the defining characteristic for the finite groups of Lie type with exceptional graph automorphisms, the Suzuki and Ree groups, Bn(2) (n >= 2), and the groups of Lie type with non-generic Schur multiplier. This completes the verification of the inductive McKay-Navarro condition for the finite groups of Lie type in their defining characteristic.(c) 2022 Elsevier Inc. All rights reserved.