Isoclinism of skew braces
Group Theory
2025-06-30 v2 Quantum Algebra
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2211.14414,
title = {Isoclinism of skew braces},
author = {Thomas Letourmy and Leandro Vendramin},
journal= {arXiv preprint arXiv:2211.14414},
year = {2025}
}
Comments
14 pages. Postprint version