Some group-theoretical approaches to skew left braces
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2023-06-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | https://ijgt.ui.ac.ir/article_26447_d4e21911b3496123e5ec512f5186c689.pdf |
| Summary: | 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. |
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| ISSN: | 2251-7650 2251-7669 |