{ "id": "1701.06847", "version": "v1", "published": "2017-01-24T12:50:11.000Z", "updated": "2017-01-24T12:50:11.000Z", "title": "On the number of isomorphism classes of quasigroups", "authors": [ "Paz Jiménez-Seral", "Inmaculada Lizasoain", "Gustavo Ochoa" ], "categories": [ "math.GR" ], "abstract": "In this paper the number of isomorphism classes of the right transversals of the symmetric group $\\Sigma_{n-1}$ in the symmetric group $\\Sigma_n$ 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.", "revisions": [ { "version": "v1", "updated": "2017-01-24T12:50:11.000Z" } ], "analyses": { "keywords": [ "isomorphism classes", "quasigroups", "symmetric group", "right transversals" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }