Emma Leppälä, Markku Niemenmaa
A note on loops of square-free order

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