Abstract
The Alperin–McKay conjecture is a well-known conjecture. It is known to be true for p-solvable groups by work of Dade and Okuyama–Wajima. Recently, this conjecture has been strengthened by work of Isaacs–Navarro, Navarro and Turull. This refinement involves the degrees modulo p of the characters involved, the field of values over the p-adic numbers of the relevant characters, and their p-local Schur indices. In this paper, we prove that this strengthened version of the conjecture is true for all p-solvable groups.
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