On vanishing class sizes in finite groups

JOURNAL OF ALGEBRA

卷:489

Article

Bianchi, Mariagrazia¹  Brough, Julian M. A.²  Camina, Rachel D.³  Pacifici, Emanuele¹ 

[1] Univ Milan, Dipartimento Matemat F Enriques, Via Saldini 50, I-20133 Milan, Italy

[2] Tech Univ Kaiserslautern, D-67663 Kaiserslautern, Germany

[3] Fitzwilliam Coll, Cambridge CB3 0DG, England

关键词: Finite groups;    Conjugacy classes;    Prime graph;    Zeros of characters;   

DOI  :  10.1016/j.jalgebra.2017.07.007

来源: Elsevier

【 摘 要 】

Let G be a finite group. An element g of G is called a vanishing element if there exists an irreducible character x of G such that x(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. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free