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arXiv:2304.12869 [math.GR]AbstractReferencesReviewsResources

The Field of Values of the Height Zero Characters

Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep, Carolina Vallejo

Published 2023-04-25Version 1

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.

Categories: math.GR, math.RT
Subjects: 20D20, 20C15
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