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Research Article

Some properties of skew braces that are invariant under isoclinism

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Pages 1118-1123 | Received 30 Jun 2023, Accepted 01 Sep 2023, Published online: 15 Sep 2023

References

  • Bardakov, V. G., Neshchadim, M. V., Yadav, M. K. (2022). On λ-homomorphic skew braces, J. Pure Appl. Algebra 226(6):Paper No. 106961, 37. DOI: 10.1016/j.jpaa.2021.106961.
  • Campedel, E., Caranti, A., Del Corso, I. (2020). Hopf-Galois structures on extensions of degree p2q and skew braces of order p2q: the cyclic Sylow p-subgroup case. J. Algebra 556:1165–1210.
  • Caranti, A. (2020). Bi-skew braces and regular subgroups of the holomorph. J. Algebra 562:647–665. DOI: 10.1016/j.jalgebra.2020.07.006.
  • Caranti, A., Dalla Volta, F., Sala, M. (2006). Abelian regular subgroups of the affine group and radical rings. Publ. Math. Debrecen 69(3):297–308. DOI: 10.5486/PMD.2006.3594.
  • Caranti, A., Stefanello, L. (2021). From endomorphisms to bi-skew braces, regular subgroups, the Yang-Baxter equation, and Hopf-Galois structures. J. Algebra 587:462–487. DOI: 10.1016/j.jalgebra.2021.07.029.
  • Caranti, A., Stefanello, L. (2023). Skew braces from Rota-Baxter operators: a cohomological characterisation and some examples. Ann. Mat. Pura Appl. (4) 202(1):1–13. DOI: 10.1007/s10231-022-01230-w.
  • Childs, L. N. (2019). Bi-skew braces and Hopf Galois structures. New York J. Math. 25:574–588.
  • Hall, P. (1940). The classification of prime-power groups. J. Reine Angew. Math. 182:130–141. DOI: 10.1515/crll.1940.182.130.
  • Koch, A. (2022). Abelian maps, brace blocks, and solutions to the Yang-Baxter equation. J. Pure Appl. Algebra 226(9):Paper No. 107047, 15. DOI: 10.1016/j.jpaa.2022.107047.
  • Letourmy, T., Vendramin, L. (2023). Isoclinism of skew braces. Bull. London Math. Soc. to appear, arxiv.org/abs/2211.14414.
  • Stefanello, L., Trappeniers, S. (2023). On bi-skew braces and brace blocks. J. Pure Appl. Algebra 227(5):Paper No. 107295, 22. DOI: 10.1016/j.jpaa.2022.107295.

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