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arXiv · 2203.00808

Free Bol loops of exponent two

Alexandre Grishkov·Marina Rasskazova·Giliard Souza dos Anjos
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Abstract

A Bol loop is a loop that satisfies the identity $x((yz)y)=((xy)z)y$. In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all their elements and describe their multiplication law based on this form.

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Alexandre Grishkov, Marina Rasskazova, Giliard Souza dos Anjos. 2022-03-02. Free Bol loops of exponent two. https://arxiv.org/abs/2203.00808

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