3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
On the structure of the centralizer of a braid
Juan Gonzalez-Meneses, Bert Wiest
The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expre…
An algorithm for the word problem in braid groups
Bert Wiest
We suggest a new algorithm for finding a canonical representative of a given braid, and also for the harder problem of finding a -consistent representative. We conjecture that…
Orderable 3-manifold groups
Steven Boyer, Dale Rolfsen, Bert Wiest
We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact P^2-irre…
Orderings of mapping class groups after Thurston
Hamish Short, Bert Wiest
We are concerned with mapping class groups of surfaces with nonempty boundary. We present a very natural method, due to Thurston, of finding many different left orderings of such g…