中北大学学报（自然科学版）Issue(3)：282-284,288,4.DOI:10.3969/j.issn.1673-3193.2015.03.007
S10的非交换图刻画
Noncommuting Graph Characterization of S10
摘要
Abstract
AAM conj ecture about characterization of the finite simple groups by their non-commuting graphs was investigated.Using the properties of non-commuting graph,the specialties of maximal solv-able normal subgroup,a normal serie was built.And according to the classification of finite simple groups with prime factors less than 7 and extension theorem,the main result was proved,that was,S10 , the symmetric group with more than 10 degrees,can be charactered by its noncommuting graph.The characterization problem further improved the content of the AAM conj ecture.And using this method, at the same time,the single simple group or almost all simple groups can also be solved.关键词
非交换图/素图/对称群/中心化子Key words
noncommuting graph/prime graph/symmetric group/centralizer分类
数理科学引用本文复制引用
王玲丽..S10的非交换图刻画[J].中北大学学报（自然科学版）,2015,(3):282-284,288,4.基金项目
国家青年科学基金资助项目(11201133) （11201133）
山西省青年科学基金资助项目(2012021001-1) （2012021001-1）
