Iker de las Heras

collaborators

2 papers

math.GR2025

Groups with finitely many long commutators of maximal order

Iker de las Heras, Federico Di Concilio, Pavel Shumyatsky

Given a group $G$ and elements $x_{1}, x_{2}, \dots, x_{ℓ} \in G$ , the commutator of the form $[x_{1}, x_{2}, \dots, x_{ℓ}]$ is called a commutator of length $ℓ$ . The present paper deals w…

math.GR2025

Strong conciseness and equationally Noetherian groups

Iker de las Heras, Andoni Zozaya

A word $w$ is said to be concise in a class of groups if, for every $G$ in that class such that the set of $w$ -values $w {G}$ is finite, the verbal subgroup $w (G)$ is also finite.…