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Towards the inductive McKay--Navarro Condition for groups of Lie type
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We gather tools for proving the inductive McKay--Navarro (or Galois--McKay) condition for groups of Lie type and odd primes. We use this to establish a bijection in the case of quasisimple groups of Lie type A satisfying the equivariance properties needed for the condition. We also prove the inductive conditions for the subset of unipotent characters.
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The Isaacs--Navarro Galois conjecture
The Isaacs-Navarro Galois conjecture is proved: for every finite group G and prime l, there is an H0-equivariant bijection between the l'-degree characters of G and those of the normalizer of a Sylow l-subgroup.
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