Přemysl Jedlička
On commutative loops of order pq with metacyclic inner mapping group and trivial center

Comment.Math.Univ.Carolin. 51,2 (2010) 253-261.


Abstract: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.


Keywords: commutative loops, construction of loops, matrices over finite fields, quadratic extensions

AMS Subject Classification: 20N05 Quasigroups and loops

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