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arXiv · 2506.17123

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

Lucas Ruhstorfer·A. A. Schaeffer Fry·Britta Späth·Jay Taylor
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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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Lucas Ruhstorfer, A. A. Schaeffer Fry, Britta Späth, Jay Taylor. 2025-06-20. Towards the inductive McKay--Navarro Condition for groups of Lie type. https://arxiv.org/abs/2506.17123

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