Totally symmetric quasigroups of order 16

Author:

Ginsberg Hy1ORCID

Affiliation:

1. Department of Mathematics Worcester State University Worcester Massachusetts USA

Abstract

AbstractWe present the number of totally symmetric quasigroups (equivalently, totally symmetric Latin squares) of order 16, as well as the number of isomorphism classes of such objects. Totally symmetric quasigroups of orders up to and including 16 that are (respectively) medial, idempotent, and unipotent are also enumerated.

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference14 articles.

1. Enumeration of totally symmetric Latin squares;Bailey R. A.;Util. Math,1979

2. Corrigendum to enumeration of totally symmetric Latin squares;Bailey R. A.;Util. Math,1979

3. Some results in the theory of quasigroups

4. Quasigroups and cubic curves

5. On nondistributive Steiner quasigroups

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