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arXiv · 2304.12869

The Field of Values of the Height Zero Characters

Gabriel Navarro·Lucas Ruhstorfer·Pham Huu Tiep·Carolina Vallejo
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Abstract

We determine what are the fields of values of the irreducible $p$-height zero characters of all finite groups for $p=2$; we conjecture what they should be for odd primes, and reduce this statement to a problem on blocks of quasi-simple groups.

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Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep, Carolina Vallejo. 2023-04-25. The Field of Values of the Height Zero Characters. https://arxiv.org/abs/2304.12869

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