@Article{JMS-55-67,
author = {Wang , Wenyang and Du , Ni},
title = {Zeros of Primitive Characters},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {1},
pages = {67--70},
abstract = {<p style="text-align: justify;">Let $G$ be a finite group. An irreducible character $\chi$ of $G$ is said to be primitive if $\chi \neq \vartheta^{G}$ for any character $\vartheta$ of a proper subgroup of $G$. In this paper, we consider about the zeros of primitive characters. Denote by ${\rm Irr_{pri} }(G)$ the set of all irreducible primitive characters of $G$. We proved&nbsp; that&nbsp; if $g\in G$ and the order of $gG&#39;$ in the factor group $G/G&#39;$ does not divide $|{\rm Irr_{pri}}(G)|$, then there exists $\varphi \in {\rm Irr_{pri}}(G)$ such that $\varphi(g)=0$.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n1.22.05},
url = {http://global-sci.org/intro/article_detail/jms/20194.html}
}