Robati, S. (2019). Groups whose set of vanishing elements is exactly a conjugacy class. Algebraic Structures and Their Applications, 6(2), 9-12. doi: 10.29252/as.2019.1426

Sajjad Mahmood Robati. "Groups whose set of vanishing elements is exactly a conjugacy class". Algebraic Structures and Their Applications, 6, 2, 2019, 9-12. doi: 10.29252/as.2019.1426

Robati, S. (2019). 'Groups whose set of vanishing elements is exactly a conjugacy class', Algebraic Structures and Their Applications, 6(2), pp. 9-12. doi: 10.29252/as.2019.1426

Robati, S. Groups whose set of vanishing elements is exactly a conjugacy class. Algebraic Structures and Their Applications, 2019; 6(2): 9-12. doi: 10.29252/as.2019.1426

Groups whose set of vanishing elements is exactly a conjugacy class

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

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.

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