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- Title
SOME GROUP-THEORETICAL APPROACHES TO SKEW LEFT BRACES.
- Authors
BALLESTER-BOLINCHES, ADOLFO; ESTEBAN-ROMERO, R.; JIMÉNEZ-SERAL, PAZ; PÉREZ-CALABUIG, VICENT
- Abstract
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.
- Subjects
YANG-Baxter equation
- Publication
International Journal of Group Theory, 2023, Vol 12, Issue 2, p99
- ISSN
2251-7650
- Publication type
Article
- DOI
10.22108/IJGT.2022.132214.1776