Isomorphism and non-isomorphism for interval groups of type Dn
Barbara Baumeister, Derek Holt, George Neaime and Sarah Rees
Coxeter groups, Quasi-Coxeter elements, Carter diagrams, Artin(--Tits) groups, dual approach to Coxeter and Artin groups, generalised non-crossing partitions, Garside structures, Interval (Garside) structures.
Status Submitted for publication
We consider the interval groups associated with proper quasi-Coxeter elements of the Coxeter group W(Dn), for which presentations were derived in an article of Baumeister, Neaime and Rees. We derive alternative presentations for the groups, and use these to show that
the interval group associated with a proper quasi-Coxeter element of W(Dn) cannot be isomorphic to the Artin group of type Dn.
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