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arXiv · 2007.15575

Galois-equivariant McKay bijections for primes dividing $q-1$

A. A. Schaeffer Fry
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Abstract

We prove that for most groups of Lie type, the bijections used by Malle and Spaeth in the proof of Isaacs-Malle-Navarro's inductive McKay conditions for the prime 2 and odd primes dividing q - 1 are also equivariant with respect to certain Galois automorphisms. In particular, this shows that these bijections are candidates for proving Navarro-Spaeth-Vallejo's recently-posited inductive Galois-McKay conditions. On the way, we show that several simple groups of Lie type satisfy the McKay--Navarro conjecture for the prime 2.

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BibTeXRIS

A. A. Schaeffer Fry. 2020-07-30. Galois-equivariant McKay bijections for primes dividing $q-1$. https://arxiv.org/abs/2007.15575

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