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.
The fields of values of the height zero characters / Navarro G.; Ruhstorfer L.; Tiep P.H.; Vallejo C.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 443:(2024), pp. 109589.1-109589.25. [10.1016/j.aim.2024.109589]
The fields of values of the height zero characters
Vallejo C.
2024
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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