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 $\chi(g)=0$. Moreover, the conjugacy class of a vanishing element is called a vanishing conjugacy class. In this paper, we classify groups with exactly two vanishing conjugacy classes and show that such groups are either Frobenius or quasi-Frobenius groups.
Mahmood Robati, S. (2024). Classification of groups whose vanishing \\elements are contained in exactly two conjugacy classes. Algebraic Structures and Their Applications, 11(4), 305-310. doi: 10.22034/as.2024.20965.1692
MLA
Sajjad Mahmood Robati. "Classification of groups whose vanishing \\elements are contained in exactly two conjugacy classes", Algebraic Structures and Their Applications, 11, 4, 2024, 305-310. doi: 10.22034/as.2024.20965.1692
HARVARD
Mahmood Robati, S. (2024). 'Classification of groups whose vanishing \\elements are contained in exactly two conjugacy classes', Algebraic Structures and Their Applications, 11(4), pp. 305-310. doi: 10.22034/as.2024.20965.1692
VANCOUVER
Mahmood Robati, S. Classification of groups whose vanishing \\elements are contained in exactly two conjugacy classes. Algebraic Structures and Their Applications, 2024; 11(4): 305-310. doi: 10.22034/as.2024.20965.1692
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