On (2,3)-generated groups
主 题: On (2,3)-generated groups
报告人: Maxim Vsemirnov (俄罗斯科学院通讯院士,圣彼得堡Steklov研究所)
时 间: 2016-12-12 15:00-16:00
地 点: 理科一号楼1479
A (2,3)-generated group is a group that can be generated by an involution and an element of order 3. The interest in these groups is explained by the well known fact that the quotients of the modular group PSL(2,Z) (except the three ``degenerate'' cases of cyclic groups C_1, C_2, C_3) are precisely the (2,3)-generated groups. In my talk I shall survey recent results in that field including: explicit constructions of (2,3)-generators for various matrix groups, new additions to the list of non-(2,3)-generated finite simple groups.