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math.GR2004
On word reversing in braid groups
Patrick Dehornoy, Bert Wiest
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a…
math.GR2004★ 2 cited
The group of parenthesized braids
Patrick Dehornoy
We investigate a group that includes Artin's braid group and Thompson's group . The elements of are represented by braids diagrams in which…
math.GR2004★ 1 cited
Geometric presentations for Thompson's groups
Patrick Dehornoy
We prove that Thompson's groups and are the geometry groups of associativity, and of associativity together with commutativity, respectively. We deduce new presentations of…