Free augmented LD-systems
| dc.creator | Dehornoy, Patrick | |
| dc.date | 2005-07-10 | |
| dc.date.accessioned | 2026-07-07T05:21:34Z | |
| dc.date.available | 2026-07-07T05:21:34Z | |
| dc.description | Define an augmented LD-system, or ALD-system, to be a set equipped with two binary operations, one satisfying the left self-distributivity law $x * (y * z) = (x * y) * (x * z)$ and the other satisfying the mixed laws $(x o y) * z = x * (y * z)$ and $x * (y o z) = (x * y) o (x * z)$. We solve the word problem of the ALD laws, and prove that every element in the parenthesized braid group $B\_\bullet$ of [Bri1, Dhb, Dhe] generates a free ALD-system of rank 1, thus getting a concrete realization of the latter structure. | |
| dc.identifier | https://arxiv.org/abs/math/0507196 | |
| dc.identifier | http://arxiv.org/abs/math/0507196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75736 | |
| dc.subject | Group Theory | |
| dc.subject | 20N02, 20F36 | |
| dc.title | Free augmented LD-systems | |
| dc.type | text |