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Commutative subloop-free loops

Martin Beaudry;  Louis Marchand — 2011

Commentationes Mathematicae Universitatis Carolinae

We describe, in a constructive way, a family of commutative loops of odd order, n ≥ 7 , which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group 𝒜 n .

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