University of Sydney Algebra Seminar

Noelle Antony (University of Sydney)

Friday 21st October, 12.05-12.55pm, Carslaw 275

The natural embedding of positive singular Artin monoids

We will explore some combinatorial properties of singular Artin monoids and invoke them to prove that a positive singular Artin monoid of arbitrary Coxeter type necessarily injects into the corresponding singular Artin monoid. This is an extension of L. Paris' result that positive Artin monoids embed in the corresponding Artin groups: adjoining inverses of the generators does not produce any new identities between words that do not involve those inverses.