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Determination of the left braces of order 64

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Publication:6618051
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DOI10.22108/IJGT.2023.137825.1846MaRDI QIDQ6618051

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

Publication date: 11 October 2024

Published in: International Journal of Group Theory (Search for Journal in Brave)




zbMATH Keywords

regular subgroupholomorphleft braceskew left brace


Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25) Computational methods for problems pertaining to group theory (20-08)


Cites Work

  • Braces, radical rings, and the quatum Yang-Baxter equation.
  • Triply factorised groups and the structure of skew left braces
  • Skew braces and the Yang–Baxter equation
  • Computing skew left braces of small orders
  • Skew Braces of Size p2 q I: Abelian Type
  • Problems on skew left braces
  • Enumeration of left braces with additive group 𝐶₄×𝐶₄×𝐶₄
  • Determination of the left braces of order 64
  • Enumeration of left braces with additive group \(C_2 \times C_2 \times C_4 \times C_4\)


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Determination of the left braces of order 64






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