The Field of Values of the Height Zero Characters

Published 25 Apr 2023 in math.GR and math.RT | (2304.12869v1)

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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