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arXiv · 1204.3211

Monoids of O-type, subword reversing, and ordered groups

Patrick Dehornoy
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Abstract

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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Patrick Dehornoy. 2012-05-08. Monoids of O-type, subword reversing, and ordered groups. https://arxiv.org/abs/1204.3211

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