Groups with finitely many long commutators of maximal order

Iker de las Heras, Federico Di Concilio, Pavel Shumyatsky

Given a group $G$ and elements $x_1,x_2,\dots ,x_{\ell }\in G$, the commutator of the form $[x_1,x_2,\dots ,x_{\ell }]$ is called a commutator of length $\ell$. The present paper deals w…