3 citations · 3 across the 3 of their papers we have counts for
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Absolute order and involutions
Thomas Gobet
We study the restriction of the absolute order on a Coxeter group to an interval , where is an involution. We characterize and classify those involutions …
A new Garside structure on torus knot groups and some complex braid groups
Thomas Gobet
Several distinct Garside monoids having torus knot groups as groups of fractions are known. For two coprime integers, we introduce a new Garside monoid $\mathcal{M}(n,m…
Toric reflection groups
Thomas Gobet
Several finite complex reflection groups have a braid group which is isomorphic to a torus knot group. The reflection group is obtained from the torus knot group by declaring merid…
On torus knot groups and a submonoid of the braid group
Thomas Gobet
The submonoid of the -strand braid group generated by and is known to yield an exotic Garside structure on . We introduce and stud…
Dual Garside structures and Coxeter sortable elements
Thomas Gobet
In Artin-Tits groups attached to Coxeter groups of spherical type, we give a combinatorial formula to express the simple elements of the dual braid monoids in the classical Artin g…