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Towards the inductive McKay--Navarro Condition for groups of Lie type

Published 20 Jun 2025 in math.RT and math.GR | (2506.17123v1)

Abstract: 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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