loop; inner mapping group; centrally nilpotent loop
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.
 Bruck R.H.: Contributions to the theory of loops
. Trans. Amer. Math. Soc. 60 (1946), 245–354. MR 0017288
| Zbl 0061.02201