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arXiv · 1806.01127

Skew left braces of nilpotent type

Ferran Cedo·Agata Smoktunowicz·Leandro Vendramin
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Abstract

We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to infinite left braces are given. Indecomposable solutions of the Yang-Baxter equation are explored using the structure of skew left braces.

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Ferran Cedo, Agata Smoktunowicz, Leandro Vendramin. 2018-06-04. Skew left braces of nilpotent type. https://doi.org/10.1112/plms.12209

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