Iker de las Heras

collaborators

3 papers

math.GR2026

Engel probability in wreath products of $p$ -groups

Iker de las Heras, Tommaso Toti, Matteo Vannacci

We give upper and lower bounds for the number of solutions of the equation $e_{n} (x, y) = g$ in the group $W_{k} = (C_{p} ≀ C_{p^{k}})^{2}$ , where $e_{n} (x, y)$ is the $n$ -th Engel word and $g\in…

math.GR2024

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.GR2024

On the lattice of closed subgroups of a profinite group

Francesco de Giovanni, Iker de las Heras, Marco Trombetti

The subgroup lattice of a group is a great source of information about the structure of the group itself. The aim of this paper is to use a similar tool for studying profinite grou…

Engel probability in wreath products of p-groups

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

On the lattice of closed subgroups of a profinite group

Engel probability in wreath products of $p$ -groups

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