The Field of Values of the Height Zero Characters
Group Theory
2023-04-26 v1 Representation Theory
Abstract
We determine what are the fields of values of the irreducible -height zero characters of all finite groups for ; we conjecture what they should be for odd primes, and reduce this statement to a problem on blocks of quasi-simple groups.
Keywords
Cite
@article{arxiv.2304.12869,
title = {The Field of Values of the Height Zero Characters},
author = {Gabriel Navarro and Lucas Ruhstorfer and Pham Huu Tiep and Carolina Vallejo},
journal= {arXiv preprint arXiv:2304.12869},
year = {2023}
}