Some Simple Groups Which are Determined by Their Orders and Degree-Patterns

作     者：Qinghong Guo Weijun Liu Genghua Fan 

作者机构：School of Mathematics and StatisticsHNP-LAMACentral South University Changsha 410083China College of General EducationGuangdong University of Science and Technology DongguanGuangdong 523083China 不详 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2024年第31卷第2期

页      面：341-346页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by NSFC(12071484) Hunan Provincial Natural Science Foundation(2020JJ4675) Foundation of Guangdong University of Science and Technology 

主　　题：irreducible complex character character-prime graph finite nonabelian simple group 

摘      要：Let G be a finite group and Irr(G)the set of all irreducible complex characters of *** cd(G)be the set of all irreducible complex character degrees of G and denote byρ(G)the set of all primes which divide some character degree of *** character-prime graphΓ(G)associated to G is a simple undirected graph whose vertex set isρ(G)and there is an edge between two distinct primes p and q if and only if the product p q divides some character degree of *** show that the finite nonabelian simple groups A_(7),J_(1),J_(3),J_(4),L_(3)(3)and U_(3)(4)are uniquely determined by their degree-patterns and orders.