SEMINAR: Groups and Combinatorics Seminar: The generalised Curtis-Tits system and black box groups

Groups and Combinatorics Seminar

Sukru Yalcinkaya (UWA)

will speak on

The generalised Curtis-Tits system and black box groups

at 12 noon in MLR2 on Tuesday 9th of March.

Abstract: The Curtis-Tits presentation of groups of Lie type is the main identification theorem used in the classification of the finite simple groups. I will describe the most general form of the Curtis-Tits presentation of finite groups of Lie type where the Phan's presentation for the twisted groups appears as a special case. I will also talk about a beautiful application of this result to the recognition of finite black box groups.

If time permits I will briefly talk about how Curtis-Tits and its Phan variations link two theories: Theory of black box groups and groups of finite Morley rank.

All welcome