Isoclinism of skew braces
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–...
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2023-12, Vol.55 (6), p.2891-2906 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0024-6093 1469-2120 |
| DOI: | 10.1112/blms.12900 |