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.
No takes yet. Share an insight, caveat, or question.
Navarro et al. (2024) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: