Artin monoids inject in their groups

By Luis Paris. 2001

130 citations recorded by the source corpus.

Abstract. We prove that the natural homomorphism from an Artin monoid to its associated Artin group is always injective.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/86ee6da465bc77b2314840f41e802f363f0875af

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Juan González-Meneses
2. Eddy Godelle

In Geometry and Topology

1. Eddy Godelle
2. Juan González-Meneses
3. Luis Paris
4. J. Birman
5. Volker Gebhardt

In Mathematical Physics

1. Eddy Godelle
2. Juan González-Meneses
3. Luis Paris
4. J. Birman
5. Volker Gebhardt

Citations in the corpus

• Basic questions on Artin-Tits groups (2011, background): “By [6] the natural homomorphism A → A is injective (see also [26]).”
• Basic results on braid groups (2010, background): “This result has been generalized to all Artin-Tits groups of spherical type [20, 27, 67] (see also [47]).”