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SUMMARY:María Cumplido Cabello (Universidad Complutense de Madrid)
DTSTART:20201216T110000Z
DTEND:20201216T120000Z
DTSTAMP:20260423T004514Z
UID:SIMBa/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/2/">St
 rand diagrams and generalised braided Thompson's groups</a>\nby María Cum
 plido Cabello (Universidad Complutense de Madrid) as part of Barcelona Mat
 hematics Informal Seminar (SIMBa)\n\n\nAbstract\nThis is a joint work with
  Julio Aroca. There is a generalisation of Thompson's groups constructed f
 rom the Thompson's group $V$ and Artin's braid group. The braided Thompson
 's group $BV_2$ was independently introduced  by Patrick Dehornoy and Matt
 hew G. Brin in 2006. In this talk we will explain how two extend this conc
 ept to a much bigger family of groups by using infinite braids: Infinitely
  braided Thompson's groups $BV_n(H)$\, where $H$ is a subgroup of the brai
 d 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 fi
 nitely generated if $H$ is finitely generated and give an explicit set of 
 generators for $BV_n(H)$ and some other cases. Slides will be in English a
 nd the talk will be given in Spanish.\n
LOCATION:https://researchseminars.org/talk/SIMBa/2/
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