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On vanishing class sizes in finite groups

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Bianchi, M 
Brough, JMA 
Camina, RD 

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.

Description

Keywords

Finite groups, Conjugacy classes, Prime graph, Zeros of characters

Journal Title

Journal of Algebra

Conference Name

Journal ISSN

0021-8693
1090-266X

Volume Title

489

Publisher

Elsevier BV