报告名称：Unified Generalization of Several Characterizations of Simple Groups with Non-connected prime graphs

主办单位：数学与统计学学院

报告专家：陈贵云教授

专家所在单位：西南大学

报告时间：2021年1月12日下午：14:30--16:30

报告地点：腾讯会议909 634 350

专家简介:陈贵云，男, 1963年生，四川仁寿人，理学博士,西南大学教授、博士生导师，国务院政府特殊津贴专家，重庆市学术技术带头人，民进中央常委、民进重庆市第五届委员会主委、重庆市政协副主席，十三届全国政协委员。德国《Contribution to Geometry and Algebra》和意大利《Italian Journal of Pure and Applied Mathematics》编委、美国《Mathematics Review》评论员，承担过国家级项目12项,发表论文140余篇。

报告摘要：For a simple group with non-connected prime graph, its quantitative characterization sometimes can be ascribed to show a finite group with non-connected prime graph and having the same order as the discussed simple group is exactly the appointed simple group. Here we show that under the restriction of order and assumption of prime graph is non-connected, then some simple groups are uniquely determined, for example, sporadic simple groups, some K_3-groups, alternating groups with non-connected prime graphs etc. This conclusion generalizes several characterizations of these simple groups, which conclude the prime graph of the finite group involved is non-connected. The interesting thing is that there exist three 2-Frobenius groups. Two of them have non-connected prime graphs and their order are the same as |L_2(7)| , and another one with non-connected prime graph and its order the same as U_4(2).

邀请人：廖军