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arXiv · 2207.03255

The middle translations of finite involutory latin quandles

Abednego Orobosa Isere
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Abstract

This paper studies the left (right) middle translations on finite involutory latin quandles and their representations. It also shows that a left involutory latin quandle of odd order n can be constructed from a cyclic group of odd order by the application of left middle translations. Furthermore, the concept of spins of involutory latin quandle is investigated, and it is shown that if Q is a left involutory latin quandle of odd order n, then the set of all right spins (r-spins) is a cyclic group of odd order n under composition of mapping.

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Abednego Orobosa Isere. 2022-07-07. The middle translations of finite involutory latin quandles. https://arxiv.org/abs/2207.03255

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