Groups whose set of vanishing elements is exactly a conjugacy class

Document Type : Research Paper

Author

‎Department of mathematics‎, ‎Faculty of Science, Imam Khomeini International University, Qazvin‎, ‎Iran.

10.29252/as.2019.1426

Abstract

‎Let $G$ be a finite group‎. ‎We say that an element $g$ in $G$ is a vanishing element if there exists some irreducible character $\chi$ of $G$ such that $\chi(g)=0$‎. ‎In this paper‎, ‎we classify groups whose set of vanishing elements is exactly a conjugacy class‎.

Keywords


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