On skew braces and their ideals (with an Appendix by Agata Smoktunowicz)
arXiv:1804.04106 · doi:10.1080/10586458.2018.1492476
Abstract
We define combinatorial representations of finite skew braces and use this idea to produce a database of skew braces of small size. This database is then used to explore different concepts of the theory of skew braces such as ideals, series of ideals, prime and semiprime ideals, Baer and Wedderburn radicals and solvability. The paper contains several questions.
Statements of Lemma 4.27, Theorem 4.28, Corollary 4.29 and the second line of its proof were corrected - it is now written "two-sided brace" instead of "skew brace"
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- Inverse semi-braces and the Yang-Baxter equation
- On two-sided skew braces
- Near braces and p-deformed braided groups
- Novel non-involutive solutions of the Yang-Baxter equation from (skew) braces
- Solutions of the Yang-Baxter equation and strong semilattices of skew braces