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RESEARCH PRODUCT
Some group-theoretical approaches to skew left braces
Adolfo Ballester BolinchesRamón Esteban RomeroPaz Jiménez SeralVicent Pérez Calabuigsubject
Matemàticadescription
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.
year | journal | country | edition | language |
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2023-01-01 |