Zeros of irreducible characters in factorised groups

被引：3
|
作者：
Felipe, M. J. [1 ]
Martinez-Pastor, A. [1 ]
Ortiz-Sotomayor, V. M. [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada IUMPA, Camino Vera S-N, E-46022 Valencia, Spain
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 01期
关键词：
Finite groups; Products of groups; Irreducible characters; Conjugacy classes; Vanishing elements; VANISHING CLASS SIZES; ELEMENTS;
D O I：
10.1007/s10231-018-0765-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An element g of a finite group G is said to be vanishing inG if there exists an irreducible character of G such that (g)=0; in this case, g is also called a zero of G. The aim of this paper is to obtain structural properties of a factorised group G=AB when we impose some conditions on prime power order elements gAB which are (non-)vanishing in G.
引用
收藏
页码：129 / 142
页数：14
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