On the inductive McKay--Navarro condition for $\mathsf{B}_2(2^f)$ and $\mathsf{G}_2(3^f)$

Abstract

We verify the inductive McKay--Navarro condition for the groups $\mathsf{B}_2(2^f)$ and $\mathsf{G}_2(3^f)$ and all primes if $f$ is odd. Further, we show that the equivariance part of the inductive condition holds for all integers $f$.