Triply Factorised Groups and the Structure of Skew Left Braces

Author:

Ballester-Bolinches A.ORCID,Esteban-Romero R.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Statistics and Probability

Reference21 articles.

1. Acri, E., Lutowski, R., Vendramin, L.: Rectractability of solutions to the Yang–Baxter equation and $p$-nilpotency of skew braces. Int. J. Algebra Comput. 30(01), 91–115 (2020)

2. Amberg, B., Franciosi, S., de Giovanni, F.: Products of Groups. Oxford Mathematical Monographs. Oxford Science Publications, The Clarendon Press, Oxford University Press, New York (1992)

3. Bardakov, V.G., Neshchadim, M.V., Yadav, M.K.: Computing skew left braces of small orders. Int. J. Algebra Comput. 30(4), 839–851 (2020)

4. Byott, N.P.: Solubility criteria for Hopf–Galois structures. N. Y. J. Math. 21, 883–903 (2015)

5. Cedó, F., Smoktunowicz, A., Vendramin, L.: Skew left braces of nilpotent type. Proc. Lond. Math. Soc. 118(6), 1367–1392 (2019)

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2. Semi-affine structures on groups and semi-braces;Journal of Pure and Applied Algebra;2023-09

3. Enumeration of left braces with additive group ₄×₄×₄;Mathematics of Computation;2023-06-30

4. A Jordan–Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang–Baxter equation;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-04-24

5. Enumeration of left braces with additive group $$C_2\times C_2\times C_4\times C_4$$;Ricerche di Matematica;2023-04-20

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