A reduction theorem for the Galois–McKay conjecture

Navarro, Gabriel; Späth, Britta; Vallejo, Carolina

doi:10.1090/tran/8111

A reduction theorem for the Galois–McKay conjecture
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by Gabriel Navarro, Britta Späth and Carolina Vallejo PDF

Trans. Amer. Math. Soc. 373 (2020), 6157-6183 Request permission

Abstract:

We introduce ${\mathcal {H}}$-triples and a partial order relation on them, generalizing the theory of ordering character triples developed by Navarro and Späth. This generalization takes into account the action of Galois automorphisms on characters and, together with previous results of Ladisch and Turull, allows us to reduce the Galois–McKay conjecture to a question about simple groups.

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