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march 2019 Groups whose set of vanishing elements is the union of at most three conjugacy classes
Sajjad Mahmood Robati
Bull. Belg. Math. Soc. Simon Stevin 26(1): 85-89 (march 2019). DOI: 10.36045/bbms/1553047230

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 prove that if the set of vanishing elements of $G$ is the union of at most three conjugacy classes, then $G$ is solvable.

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Sajjad Mahmood Robati. "Groups whose set of vanishing elements is the union of at most three conjugacy classes." Bull. Belg. Math. Soc. Simon Stevin 26 (1) 85 - 89, march 2019. https://doi.org/10.36045/bbms/1553047230

Information

Published: march 2019
First available in Project Euclid: 20 March 2019

zbMATH: 07060317
MathSciNet: MR3934082
Digital Object Identifier: 10.36045/bbms/1553047230

Subjects:
Primary: 20C15, 20E45

Rights: Copyright © 2019 The Belgian Mathematical Society

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Vol.26 • No. 1 • march 2019
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