Groups whose set of vanishing elements is exactly a conjugacy class

نویسندگان

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

doi
10.22034/as.2019.1426
چکیده

‎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.