The characterization of PSL(2, p) (p ≡ ±5 (mod 24))

被引：0

作者：

Guan, Yunfei ^{[1
]}

Yan, Quanfu ^{[2
]}

Shen, Zhencai ^{[1
,3
]}

机构：

[1] China Agr Univ, Coll Sci, Beijing, Peoples R China

[2] Kent State Univ, Dept Math Sci, Kent, OH USA

[3] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 07期

关键词：

Characters; finite simple groups; vanishing elements; VANISHING PRIME GRAPH; ORDERS;

D O I：

10.1080/00927872.2024.2306476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. A vanishing element of G is an element g is an element of G such that chi(g)=0 for some irreducible complex character chi of G. We will denote by Van(G) the set of vanishing elements of G and by Vo(G) the set of the order of elements in Van(G). For certain specified primes p that satisfy p equivalent to +/- 5 (mod24), if Vo(G)=Vo(PSL(2,p)), then G congruent to PSL(2,p).

引用

页码：2769 / 2773

页数：5

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