000133168 001__ 133168 000133168 005__ 20240731103417.0 000133168 0247_ $$2doi$$a10.22108/ijgt.2022.132214.1776 000133168 0248_ $$2sideral$$a137890 000133168 037__ $$aART-2023-137890 000133168 041__ $$aeng 000133168 100__ $$aBallester-Bolinches, Adolfo 000133168 245__ $$aSome group-theoretical approaches to skew left braces 000133168 260__ $$c2023 000133168 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133168 5203_ $$aThe 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. 000133168 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00 000133168 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000133168 592__ $$a0.366$$b2023 000133168 593__ $$aAlgebra and Number Theory$$c2023$$dQ3 000133168 594__ $$a0.9$$b2023 000133168 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000133168 700__ $$aEsteban-Romero, Ramón 000133168 700__ $$0(orcid)0000-0003-4809-1784$$aJiménez-Seral, Paz$$uUniversidad de Zaragoza 000133168 700__ $$aPérez-Calabuig, Vicent 000133168 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000133168 773__ $$g12, 2 (2023), 99-109$$tInternational Journal of Group Theory$$x2251-7669 000133168 8564_ $$s421933$$uhttps://zaguan.unizar.es/record/133168/files/texto_completo.pdf$$yVersión publicada 000133168 8564_ $$s1329892$$uhttps://zaguan.unizar.es/record/133168/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000133168 909CO $$ooai:zaguan.unizar.es:133168$$particulos$$pdriver 000133168 951__ $$a2024-07-31-10:07:22 000133168 980__ $$aARTICLE