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Some group-theoretical approaches to skew left braces | ||
| International Journal of Group Theory | ||
| مقاله 21، دوره 12، شماره 2، شهریور 2023، صفحه 99-109 اصل مقاله (402.41 K) | ||
| نوع مقاله: Ischia Group Theory 2020/2021 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.132214.1776 | ||
| نویسندگان | ||
| Adolfo Ballester Bolinches1؛ Ramon Esteban-Romero* 1؛ Paz Jiménez-Seral2؛ Vicent Pérez-Calabuig1 | ||
| 1Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, Burjassot, València, Spain | ||
| 2Departamento de Matemáticas, Universidad de Zaragoza, Pedro Cerbuna, 12, Zaragoza, Spain | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Skew left brace؛ triply factorised group؛ derivation؛ regular subgroup؛ nilpotency | ||
| مراجع | ||
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