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SIMBa: Strand diagrams and generalised braided Thompson’s groups

SIBMa

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
Universitat: Universidad Complutense de Madrid.

Data: Wednesday, December 16th, 2020.
Hora: 12:00,virtual coffee break; 12:20, talk.
Lloc: Zoom (the link will be posted on our website).
Idioma: Spanish.

Títol: Strand diagrams and generalised braided Thompson’s groups.
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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