133168 20240731103417.0 doi 10.22108/ijgt.2022.132214.1776 sideral 137890 ART-2023-137890 eng Ballester-Bolinches, Adolfo Some group-theoretical approaches to skew left braces 2023 Access copy available to the general public Unrestricted The algebraic structure of skew left brace has become a useful tool to construct set-theoretic solutions of the Yang-Baxter equation. In this survey we present some descriptions of skew left braces in terms of bijective derivations, triply factorised groups, and regular subgroups of the holomorph of a group, as well as some applications of these descriptions to the study of substructures, nilpotency, and factorised skew left braces. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.366 2023 Algebra and Number Theory 2023 Q3 0.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Esteban-Romero, Ramón Jiménez-Seral, Paz Universidad de Zaragoza (orcid)0000-0003-4809-1784 Pérez-Calabuig, Vicent 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 12, 2 (2023), 99-109 International Journal of Group Theory 2251-7669 421933 http://zaguan.unizar.es/record/133168/files/texto_completo.pdf Versión publicada 1329892 http://zaguan.unizar.es/record/133168/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:133168 articulos driver 2024-07-31-10:07:22 ARTICLE