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math.GR2026
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…
math.GR2026
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…