Iker Heras

works on

engel words 1 haar measure 1 p-groups 1 probabilistic identities 1 profinite groups 1 wreath products 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

collaborators

Showing math.GRShow all

3 papers · 1 filter

math.GR2026

Engel probability in wreath products of $p$ -groups

Iker de las Heras, Tommaso Toti, Matteo Vannacci

The paper establishes upper and lower bounds for the number of solutions to Engel word equations in certain wreath product groups, proving a stronger form of the Amit‑Ashurst conje…

math.GR2025

The lower $p$ -series of analytic pro- $p$ groups and Hausdorff dimension

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

Let $G$ be a $p$ -adic analytic pro- $p$ group of dimension $d$ . We produce an approximate series which descends regularly in strata and whose terms deviate from the lower $p$ -series…

math.GR2025

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

We establish that finitely generated non-abelian direct products $G$ of free pro- $p$ groups have full Hausdorff spectrum with respect to the lower $p$ -series $L$ . This co…

Engel probability in wreath products of p-groups

The lower p-series of analytic pro-p groups and Hausdorff dimension

On the Hausdorff spectra of free pro-p groups and certain p-adic analytic groups

Engel probability in wreath products of $p$ -groups

The lower $p$ -series of analytic pro- $p$ groups and Hausdorff dimension

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups