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arXiv · 2304.00532

From actions of an abelian group on itself to left braces

Adolfo Ballester-Bolinches·Ramón Esteban-Romero·Leonid A. Kurdachenko·Vicent Pérez-Calabuig
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Abstract

We present a construction of left braces of right nilpotency class at most two based on suitable actions of an abelian group on itself with an invariance condition. This construction allows us to recover the construction of a free right nilpotent one-generated left brace of class two.

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Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Leonid A. Kurdachenko, Vicent Pérez-Calabuig. 2023-04-02. From actions of an abelian group on itself to left braces. https://arxiv.org/abs/2304.00532

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