Multiplication of quandle structures
Geometric Topology
2022-04-28 v1 Group Theory
Abstract
We generalise the construction of -family of quandles and -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.
Cite
@article{arxiv.2204.12571,
title = {Multiplication of quandle structures},
author = {Valeriy G. Bardakov and Denis A. Fedoseev},
journal= {arXiv preprint arXiv:2204.12571},
year = {2022}
}