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| HAL : hal-00687691, version 3 |
| arXiv : 1204.3211 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (14-04-2012) | v2 (23-04-2012) | v3 (08-05-2012) |
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| Monoids of O-type, subword reversing, and ordered groups |
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| Patrick Dehornoy 1 |
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| (08/05/2012) |
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| 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 has an isolated point, including torus knot groups and some of their amalgamated products. |
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| 1 : | Laboratoire de Mathématiques Nicolas Oresme (LMNO) |
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CNRS : UMR6139 – Université de Caen Basse-Normandie |
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| Domaine | : | Mathématiques/Théorie des groupes |
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| monoid presentation – subword reversing – divisibility – quasi-central element – ordered group – space of orderings – Garside theory |
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| hal-00687691, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00687691 | |
| oai:hal.archives-ouvertes.fr:hal-00687691 | |
| Contributeur : Patrick Dehornoy | |
| Soumis le : Mardi 8 Mai 2012, 14:59:21 | |
| Dernière modification le : Mardi 8 Mai 2012, 20:58:19 | |
