Conciseness on normal subgroups and new concise words from lower central and derived words

Gustavo A. Fernández-Alcober, Matteo Pintonello

Let $w=w(x_1,\dots ,x_r)$ be a lower central word or a derived word. We show that the word $w(u_1,\dots ,u_r)$ is concise whenever $u_1,\dots ,u_r$ are non-commutator words in disj…