The inductive McKay--Navarro condition for the Suzuki and Ree groups
Abstract
We verify the inductive McKay--Navarro condition for the Suzuki and Ree groups for all primes as well as for p=3 and the groups PSL3(q) with q 4,7 mod 9, PSU3(q) with q 2,5 mod 9, and G2(q) with q=2,4,5,7 mod 9. On the way, we show that there exists a Galois-equivariant Jordan decomposition for the irreducible characters of the Suzuki and Ree groups.
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