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arXiv · 2211.14414

Isoclinism of skew braces

Thomas Letourmy·Leandro Vendramin
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Abstract

We define isoclinism of skew braces and present several applications. We study some properties of skew braces that are invariant under isoclinism. For example, we prove that right nilpotency is an isoclinism invariant. This result has application in the theory of set-theoretic solutions to the Yang-Baxter equation. We define isoclinic solutions and study multipermutation solutions under isoclinism.

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Thomas Letourmy, Leandro Vendramin. 2022-11-26. Isoclinism of skew braces. https://doi.org/10.1112/blms.12900

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