Some group-theoretical approaches to skew left braces

Ballester-Bolinches, Adolfo ; Esteban-Romero, Ramón ; Jiménez-Seral, Paz (Universidad de Zaragoza) ; Pérez-Calabuig, Vicent

Resumen: 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.

Idioma: Inglés

DOI: 10.22108/ijgt.2022.132214.1776

Año: 2023

Publicado en: International Journal of Group Theory 12, 2 (2023), 99-109
ISSN: 2251-7669

Factor impacto CITESCORE: 0.9 - Algebra and Number Theory (Q3)

Factor impacto SCIMAGO: 0.366 - Algebra and Number Theory (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MCINN-AEI/PGC2018-095140-B-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Algebra (Dpto. Matemáticas)