Zeros of primitive characters of finite groups
Group Theory
2020-06-25 v3
Abstract
We classify finite non-solvable groups with a faithful primitive irreducible complex character that vanishes on a unique conjugacy class. Our results answer a question of Dixon and Rahnamai Barghi and suggest an extension of Burnside's classical theorem on zeros of characters.
Keywords
Cite
@article{arxiv.1909.09642,
title = {Zeros of primitive characters of finite groups},
author = {Sesuai Y. Madanha},
journal= {arXiv preprint arXiv:1909.09642},
year = {2020}
}