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arXiv · 1701.06847

On the number of isomorphism classes of quasigroups

Paz Jiménez-Seral·Inmaculada Lizasoain·Gustavo Ochoa
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Abstract

In this paper the number of isomorphism classes of the right transversals of the symmetric group $Σ_{n-1}$ in the symmetric group $Σ_n$ is calculated. This result together with the techniques employed along the paper may be used to go forward in the study and classification of the subgroups with a certain number of isomorphism classes of transversals in the group.

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Paz Jiménez-Seral, Inmaculada Lizasoain, Gustavo Ochoa. 2017-01-24. On the number of isomorphism classes of quasigroups. https://arxiv.org/abs/1701.06847

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