dc.creator | Acri, Emiliano Francisco | |
dc.creator | Lutowski, R. | |
dc.creator | Vendramin, Claudio Leandro | |
dc.date.accessioned | 2021-07-23T16:53:08Z | |
dc.date.accessioned | 2022-10-15T09:09:23Z | |
dc.date.available | 2021-07-23T16:53:08Z | |
dc.date.available | 2022-10-15T09:09:23Z | |
dc.date.created | 2021-07-23T16:53:08Z | |
dc.date.issued | 2019-09 | |
dc.identifier | Acri, Emiliano Francisco; Lutowski, R.; Vendramin, Claudio Leandro; Retractability of solutions to the Yang-Baxter equation and p-nilpotency of skew braces; World Scientific; International Journal of Algebra and Computation; 30; 1; 9-2019; 91-115 | |
dc.identifier | 0218-1967 | |
dc.identifier | http://hdl.handle.net/11336/136766 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4368695 | |
dc.description.abstract | Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation. We use a linear representation of the structure group of an involutive solution to study the unique product property in such groups. An algorithm to find subgroups of a Bieberbach group isomorphic to the Promislow subgroup is introduced and then used in the case of structure group of involutive solutions. To extend the results related to retractability to non-involutive solutions, following the ideas of Meng, Ballester-Bolinches and Romero, we develop the theory of right p-nilpotent skew braces. The theory of left p-nilpotent skew braces is also developed and used to give a short proof of a theorem of Smoktunowicz in the context of skew braces. | |
dc.language | eng | |
dc.publisher | World Scientific | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0218196719500656 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0218196719500656 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | BIEBERBACH GROUP | |
dc.subject | MULTIPERMUTATION SOLUTION | |
dc.subject | SET-THEORETIC SOLUTION | |
dc.subject | SKEW BRACE | |
dc.subject | UNIQUE PRODUCT PROPERTY | |
dc.subject | YANG-BAXTER EQUATION | |
dc.title | Retractability of solutions to the Yang-Baxter equation and p-nilpotency of skew braces | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |