Abstract
For two distinct primes p, q, we describe those clones on a set of size pq that contain a given group operation and all constant operations. We show that each such clone is determined by congruences and commutator relations. Thus we obtain that there is only a finite number of such clones on a fixed set.
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Supported by the Austrian Science Fund (FWF), grant P15691.
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Aichinger, E., Mayr, P. Polynomial clones on groups of order pq . Acta Math Hung 114, 267–285 (2007). https://doi.org/10.1007/s10474-006-0530-x
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DOI: https://doi.org/10.1007/s10474-006-0530-x