A new family of infinitely braided Thompson's groups

Julio Aroca, María Cumplido*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
74 Downloads (Pure)


We present a generalization of the Dehornoy-Brin braided Thompson group BV2 that uses recursive braids. Our new groups are denoted by BVn,r(H), for all n≥2,r≥1 and H≤Bn, where Bn is the braid group on n strands. We give a new approach to deal with braided Thompson groups by using strand diagrams. We show that BVn,r(H) is finitely generated if H is finitely generated.

Original languageEnglish
Pages (from-to)5-34
Number of pages30
JournalJournal of Algebra
Issue numberPart B
Early online date5 Aug 2020
Publication statusPublished - 1 Oct 2022


  • Braid groups
  • Rewriting systems
  • Strand diagrams
  • Thompson groups

ASJC Scopus subject areas

  • Algebra and Number Theory


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