On vanishing class sizes in finite groups
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Peer-reviewed
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Abstract
© 2017 Elsevier Inc. Let G be a finite group. An element g of G is called a vanishing element if there exists an irreducible character χ of G such that χ(g)=0; in this case, we say that the conjugacy class of g is a vanishing conjugacy class. In this paper, we discuss some arithmetical properties concerning the sizes of the vanishing conjugacy classes in a finite group.
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Keywords
Finite groups, Conjugacy classes, Prime graph, Zeros of characters
Journal Title
Journal of Algebra
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Journal ISSN
0021-8693
1090-266X
1090-266X
Volume Title
489
Publisher
Elsevier BV