Original scientific paper

https://doi.org/10.3336/gm.49.1.07

Finite groups with few vanishing elements

Jinshan Zhang ; School of Science, Sichuan University of Science and Engineering, 643000 Zigong, P. R. China
Zhencai Shen ; College of Science, China Agricultural University, 100083 Beijing, P. R. China
Jiangtao Shi ; School of Mathematics and Information Science, Yantai University, 264005 Yantai, P. R. China

Abstract

Let G be a finite group, and Irr(G) the set of irreducible complex characters of G. We say that an element g G is a vanishing element of G if there exists χ in Irr(G) such that χ(g)= 0. Let Van(G) denote the set of vanishing elements of G, that is, Van(G)= {g G|χ(g)=0 for some χ Irr (G)}. In this paper, we investigate the finite groups G with the following property: Van(G) contains at most four conjugacy classes of G.

Keywords

Finite groups; characters; vanishing elements

Hrčak ID:

122521

URI

https://hrcak.srce.hr/122521

Publication date:

8.6.2014.

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