Matteo Pintonello

collaborators

3 papers

math.GR2024

Conciseness on normal subgroups and new concise words from outer commutator words

Gustavo A. Fernandez-Alcober, Matteo Pintonello

Let $w = w (x_{1}, \dots, x_{r})$ be an outer commutator 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 disjoint sets of v…

math.GR2023

On conciseness of the word in Olshanskii's example

Matteo Pintonello, Pavel Shumyatsky

A group-word $w$ is called concise if the verbal subgroup $w (G)$ is finite whenever $w$ takes only finitely many values in a group $G$ . It is known that there are words that are no…

math.GR2023

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…