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

Abstract

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, ${\mathsf{B}}_n(2)$ ($n\ge 2$), 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.

arXiv comment12 pages, minor revisions, accepted manuscript version

References in corpus (2)

• Inductive McKay Condition in defining Characteristic
• Odd Character Degrees for Sp(2n,2)

Cited by in corpus (1)

• Picky elements, subnormalisers, and character correspondences