Every finite abelian group is a subgroup of the additive group of a finite simple left brace

DOI10.1016/j.jpaa.2020.106476zbMath1461.16037arXiv2001.08905OpenAlexW3037527354MaRDI QIDQ2196338

Ferran Cedó, Eric Jespers, Okniński, Jan

Publication date: 28 August 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08905

zbMATH Keywords

simple bracesa-groupsset-theoretic solutions of Yang-Baxter equation

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22) Yang-Baxter equations (16T25)

Related Items (2)

Nilpotency in left semi-braces ⋮ Inverse semi-braces and the Yang-Baxter equation

Cites Work

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• Extensions, matched products, and simple braces
• Set-theoretical solutions to the quantum Yang-Baxter equation
• An abundance of simple left braces with abelian multiplicative Sylow subgroups
• Braces and the Yang-Baxter equation
• Solutions of the Yang-Baxter equation associated with a left brace.
• On some unsolved problems in quantum group theory
• Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
• Left Braces: Solutions of the Yang-Baxter Equation
• Asymmetric product of left braces and simplicity; new solutions of the Yang–Baxter equation

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