Martin Beaudry, Louis Marchand
Commutative subloop-free loops

Comment.Math.Univ.Carolin. 52,4 (2011) 473-484.

Abstract:We describe, in a constructive way, a family of commutative loops of odd order, $n\geq 7$, which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group $\mathcal{A}_n$.

Keywords: loops, multiplication group, alternating group
AMS Subject Classification: 20N05 20D06

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