Pure braid group presentations via longest elements

Caroline Namanya (Makerere University)

Wednesday 12th October, 2022 16:00-17:00 Maths 311B

Abstract

I will talk about a new and simplified presentation of the classical pure braid group. Motivated by twist functors, the generators are given by the squares of longest elements over connected subgraphs, and the relations are either commutators or certain length 5 palindromic relations. This is based on my paper arXiv:2208.02120.

 

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