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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.22108/ijgt.2022.132214.1776</dc:identifier><dc:language>eng</dc:language><dc:creator>Ballester-Bolinches, Adolfo</dc:creator><dc:creator>Esteban-Romero, Ramón</dc:creator><dc:creator>Jiménez-Seral, Paz</dc:creator><dc:creator>Pérez-Calabuig, Vicent</dc:creator><dc:title>Some group-theoretical approaches to skew left braces</dc:title><dc:identifier>ART-2023-137890</dc:identifier><dc:description>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.</dc:description><dc:date>2023</dc:date><dc:source>http://zaguan.unizar.es/record/133168</dc:source><dc:doi>10.22108/ijgt.2022.132214.1776</dc:doi><dc:identifier>http://zaguan.unizar.es/record/133168</dc:identifier><dc:identifier>oai:zaguan.unizar.es:133168</dc:identifier><dc:relation>info:eu-repo/grantAgreement/ES/DGA/E22-20R</dc:relation><dc:relation>info:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00</dc:relation><dc:identifier.citation>International Journal of Group Theory 12, 2 (2023), 99-109</dc:identifier.citation><dc:rights>by</dc:rights><dc:rights>http://creativecommons.org/licenses/by/3.0/es/</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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