Abstract
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 language | English |
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Pages (from-to) | 5-34 |
Number of pages | 30 |
Journal | Journal of Algebra |
Volume | 607 |
Issue number | Part B |
Early online date | 5 Aug 2020 |
DOIs | |
Publication status | Published - 1 Oct 2022 |
Keywords
- Braid groups
- Rewriting systems
- Strand diagrams
- Thompson groups
ASJC Scopus subject areas
- Algebra and Number Theory