Multiplication of quandle structures

Valeriy G. Bardakov; Denis A. Fedoseev

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arXiv · 2204.12571

Multiplication of quandle structures

Valeriy G. Bardakov·Denis A. Fedoseev

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Abstract

We generalise the construction of $Q$-family of quandles and $G$-family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connection with other constructions of quandles. We define a composition of quandl's structures, which are defined on the same set and find conditions under which this composition gives a quandle. Further we prove that under this multiplication we get a group and show that this group is abelian.

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BibTeX RIS

Valeriy G. Bardakov, Denis A. Fedoseev. 2022-04-26. Multiplication of quandle structures. https://arxiv.org/abs/2204.12571

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