Totally Symmetric Quasigroups of Order 16
Combinatorics
2023-03-22 v4
Abstract
We present the number of totally symmetric quasigroups (equivalently, totally symmetric Latin squares) of order 16, as well as the number of isomorphism classes, and extend previously published results to include information on the number and classes of medial totally symmetric quasigroups for all orders up to and including 16.
Keywords
Cite
@article{arxiv.2211.13204,
title = {Totally Symmetric Quasigroups of Order 16},
author = {Hy Ginsberg},
journal= {arXiv preprint arXiv:2211.13204},
year = {2023}
}
Comments
14 pages; 8 tables. Added automorphism group size data; added detailed results for sample starting configurations (to facilitate independent verification)