# SIMBa: Strand diagrams and generalised braided Thompson’s groups

El proper dimecres, 16 de desembre, se celebrarà una nova xerrada —en format virtual— del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: María Cumplido Cabello
Resum: This is a joint work with Julio Aroca. There is a generalisation of Thompson’s groups constructed from the Thompson’s group $V$ and Artin’s braid group. The braided Thompson’s group $B V_{2}$ was independently introduced by Patrick Dehornoy and Matthew G. Brin in 2006. In this talk we will explain how two extend this concept to a much bigger family of groups by using infinite braids: Infinitely braided Thompson’s groups $B V_{n}(H)$ where $H$ is a subgroup of the braid group on $n$ strands. We will prove that they are indeed groups by using braided diagrams and rewriting systems. We will also see that they are finitely generated if $H$ is finitely generated and give an explicit set of generators for $B V_{n}(H)$ and some other cases. Slides will be in English and the talk will be given in Spanish.
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