Geodesic
On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 253-261.

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Using a construction of commutative loops with metacyclic inner mapping group and trivial center described by A. Drápal, we enumerate presumably all such loops of order $pq$, for $p$ and $q$ primes.
Classification : 20N05
Keywords: commutative loops; construction of loops; matrices over finite fields; quadratic extensions 
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     title = {On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Jedlička, Přemysl. On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 253-261. http://geodesic.mathdoc.fr/item/CMUC_2010__51_2_a9/