## Emma Leppälä, Markku Niemenmaa

*A note on loops of square-free order*

Comment.Math.Univ.Carolin. 54,1 (2013) 1-3.**Abstract:**Let $Q$ be a loop such that $|Q|$ is square-free and the inner mapping group $I(Q)$ is nilpotent. We show that $Q$ is centrally nilpotent of class at most two.

**Keywords:** loop, inner mapping group, centrally nilpotent loop

**AMS Subject Classification:** 20N05 20D15

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