On the construction of quandles of order 3n

Abstract

We present methods of constructing examples of quandles of order 3n, where n is greater or equal to 3. The necessary and sufficient conditions for the constructed examples to be (i) connected (ii) group (conjugate) (iii) involutory and (iv) Alexander quandles are examined and presented. Two particular examples from these methods are presented for illustration purpose and their properties are obtained, and these are used in classifying the constructed examples up to isomorphism.

arXiv commentPre-print