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RESEARCH PRODUCT

Some group-theoretical approaches to skew left braces

Adolfo Ballester BolinchesRamón Esteban RomeroPaz Jiménez SeralVicent Pérez Calabuig

subject

Matemàtica

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.

https://hdl.handle.net/10550/85899