Nikolaus Conference 2021

Speaker: Birte Johansson (Kaiserslautern)

Title: On the Verification of the Inductive McKay-Navarro Condition


Navarro's refinement of the McKay conjecture claims that the bijection from the McKay conjecture can be chosen such that it is equivariant under certain Galois automorphisms. In 2019, Navarro, Sp├Ąth, and Vallejo reduced the McKay-Navarro conjecture to a problem about simple groups, resulting in an inductive condition. We introduce the inductive McKay-Navarro condition and present recent progress on its verification for some finite groups of Lie type.

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