Enumeration of left braces with additive group 𝐶₄×𝐶₄×𝐶₄-Reference-Cited by-同舟云学术

Enumeration of left braces with additive group 𝐶₄×𝐶₄×𝐶₄

Published:2023-06-30 Issue:346 Volume:93 Page:911-919
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ballester-Bolinches A.,Esteban-Romero R.,Pérez-Calabuig V.

Abstract

We show that the number of isomorphism classes of left braces of order 64 64 with additive group isomorphic to C 4 × C 4 × C 4 C_4\times C_4\times C_4 is 1 515 429 1\,515\,429 .

Funder

Agencia Estatal de Investigación

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

https://www.ams.org/mcom/2024-93-346/S0025-5718-2023-03871-6/mcom3871_AM.pdf

Reference14 articles.

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3. A. Ballester-Bolinches, R. Esteban-Romero, and V. Pérez-Calabuig, Left braces of order 64, WWW \url{https://doi.org/10.5281/zenodo.7406729}, December 2022, DOI:10.5281/zenodo.7406729.

4. A. Ballester-Bolinches, R. Esteban-Romero, and V. Pérez-Calabuig, Enumeration of left braces with additive group 𝐶₂×𝐶₂×𝐶₄×𝐶₄, Ric. Mat. (2023), \url{https://doi.org/10.1007/s11587-023-00772-2}.

5. Computing skew left braces of small orders;Bardakov, Valeriy G.;Internat. J. Algebra Comput.,2020

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