English

Computing skew left braces of small orders

Rings and Algebras 2020-08-11 v3

Abstract

We improve Algorithm 5.1 of [Math. Comp. {\bf 86} (2017), 2519-2534] for computing all non-isomorphic skew left braces, and enumerate left braces and skew left braces of orders up to 868 with some exceptions. Using the enumerated data, we state some conjectures for further research.

Cite

@article{arxiv.1907.08978,
  title  = {Computing skew left braces of small orders},
  author = {Valeriy G. Bardakov and Mikhail V. Neshchadim and Manoj K. Yadav},
  journal= {arXiv preprint arXiv:1907.08978},
  year   = {2020}
}

Comments

11 pages, 8 tables, Computational results

R2 v1 2026-06-23T10:26:24.741Z