English

On the number of isomorphism classes of quasigroups

Group Theory 2017-01-25 v1

Abstract

In this paper the number of isomorphism classes of the right transversals of the symmetric group Σn1\Sigma_{n-1} in the symmetric group Σn\Sigma_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.

Keywords

Cite

@article{arxiv.1701.06847,
  title  = {On the number of isomorphism classes of quasigroups},
  author = {Paz Jiménez-Seral and Inmaculada Lizasoain and Gustavo Ochoa},
  journal= {arXiv preprint arXiv:1701.06847},
  year   = {2017}
}