8 citations · 23 across the 18 of their papers we have counts for
27 papers
Absolute moved spaces and noncrossing partition posets in arbitrary Coxeter groups
Thomas Gobet
The interval between the identity element and a Coxeter element in the absolute order on a Coxeter group is a generalization of the poset of noncrossing partition…
Interval Garside groups arising from involutions in finite reflection groups
Eirini Chavli, Thomas Gobet
We identify and study the interval Garside groups arising from the restriction of the absolute order on a Coxeter group to a lattice , where is an involution. Those in…
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 …
Faithful Burau-like representations of some rank two Garside groups and torus knot groups
Thomas Gobet
We give a method to produce faithful representations of the groups in . These gro…
Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups
Nathan Chapelier-Laget, Thomas Gobet
We study the restriction of the strong Bruhat order on an arbitrary Coxeter group to cosets , where is an element of and the subgroup of fixed points o…
On maximal dihedral reflection subgroups and generalized noncrossing partitions
Thomas Gobet
In this note, we give a new proof of a result of Matthew Dyer stating that in an arbitrary Coxeter group , every pair of distinct reflections lie in a unique maximal dihe…