hal-00687691, version 2
Monoids of O-type, subword reversing, and ordered groups
(15/04/2012)
Résumé : We describe a simple scheme for constructing finitely generated monoids in which left-divisibility is a linear ordering and for practically investigating these monoids. The approach is based on subword reversing, a general method of combinatorial group theory, and connected with Garside theory, here in a non-Noetherian context. As an application we describe several families of ordered groups whose space of left-invariant orderings orderings has an isolated point, including torus knot groups and some of their amalgamated products.
- 1 :
- CNRS : UMR6139 – Université de Caen Basse-Normandie
- Domaine : Mathématiques/Théorie des groupes
- Mots-clés : monoid presentation – subword reversing – divisibility – quasi-central element – ordered group – space of orderings – Garside theory
- Versions disponibles : v1 (14-04-2012) v2 (23-04-2012) v3 (08-05-2012)
- hal-00687691, version 2
- http://hal.archives-ouvertes.fr/hal-00687691
- oai:hal.archives-ouvertes.fr:hal-00687691
- Contributeur :
- Soumis le : Samedi 21 Avril 2012, 20:10:59
- Dernière modification le : Lundi 23 Avril 2012, 08:44:56
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