Darstellungstheorietage
and
Nikolaus Conference 2021

Speaker: Birte Johansson (Kaiserslautern)

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

Abstract:

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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