Let G be a finite group. An element g of G is called a vanishing element if there exists an irreducible character chi of G such that chi(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.
On vanishing class sizes in finite groups / M. Bianchi, J.M.A. Brough, R.D. Camina, E. Pacifici. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 489(2017 Nov), pp. 446-459. [10.1016/j.jalgebra.2017.07.007]
On vanishing class sizes in finite groups
M. BianchiPrimo
;E. Pacifici
2017
Abstract
Let G be a finite group. An element g of G is called a vanishing element if there exists an irreducible character chi of G such that chi(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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