11-16吴文俊数学重点实验室代数学系列报告之142【Vsemirnov Maxim】

时间:2018-11-12

报告题目: Further properties of Hurwitz groups
报告人:Vsemirnov Maxim, 俄罗斯科学院院士,圣彼得堡数学研究所副所长
时间:2018年11月16日(周五)下午 16:00-17:00
地点: 管理科研楼 数学科学学院1218教室
摘要: In 1969 Macbeath described all Hurwitz groups among PSL(2,q).Studying further properties of the corresponding Hurwitz generators,we deal with the following question raised first by Holt and Plesken:for which n there is some q such that PSL(2,q) is a quotient of< X, Y : X^2=Y^3=(X,Y)^7=[X,Y]^n=1 > ? In my talk I'll show how this group-theoretic problem can be solved using some tools from number theory.

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