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数苑讲坛2023(五十二): Exact factorizations of almost simple groups

发布日期:2023-07-08 浏览次数:

报告题目:Exact factorizations of almost simple groups

报告人:夏彬绉 博士 (墨尔本大学)

报告时间:2023714日(星期五)16: 00-17: 00

报告地点:龙洞校区行政楼610报告厅

主持人:乔守红


报告摘要:The problem of classifying exact factorizations of almost simple groups was initiated around 1980 by the work of Feit (1979), Wiegold-Williamson (1980), Gorenstein (1982) and Kantor (1982), and significantly progressed by Liebeck, Praeger and Saxl in 2010. In this talk I will report recent work with Cai Heng Li and Lei Wang on the complete solution to this problem. To achieve this classification, we describe the factors, up to a soluble quotient, of a general factorization of almost simple group. These results have applications on Hopf algebras and Cayley graphs.


报告人简介:夏彬绉,2009年本科毕业于浙江大学,2014年获得北京大学博士学位。2014-2016年于北京国际数学研究中心从事博士后研究,2016-2017年西澳大利亚大学Research Associate,2017年起任职于墨尔本大学,国际组合数学与应用学会(ICA)2017年Kirkman奖获得者。主要研究代数图论、组合学与置换群论,在Memoirs of The American Mathematical SocietyIsrael Journal of MathematicsThe Journal of the London Mathematical SocietyMathematics of ComputationJournal of Combinatorial Theory. Series AJournal of Combinatorial Theory. Series BJournal of Algebra国际著名期刊上发表科研论文40余篇。

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