Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate
Group Theory
2016-03-11 v1
Abstract
We classify the finite groups whose non-linear irreducible characters that are not conjugate under the natural Galois action have distinct degrees, therefore extending the results in Berkovich et al. [Proc. Amer. Math. Soc. {\bf 115} (1992), 955-959] and Dolfi et al. [Israel J. Math. {\bf 198} (2013), 283-331].
Keywords
Cite
@article{arxiv.1603.03156,
title = {Finite groups whose non-linear irreducible characters of the same degree are Galois conjugate},
author = {Silvio Dolfi and Manoj K. Yadav},
journal= {arXiv preprint arXiv:1603.03156},
year = {2016}
}