Tommaso Toti

collaborators

2 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.GR2025

On probabilistic identities and coset identities in pro- $p$ groups

Steffen Kionke, Nowras Otmen, Tommaso Toti +2

It is shown that a probabilistic identity on a $σ$ -compact $K$ -analytic group $G$ , $K$ a non-archimedean local field, is a coset identity. As an application, one concludes that com…

Engel probability in wreath products of p-groups

On probabilistic identities and coset identities in pro-p groups

Engel probability in wreath products of $p$ -groups

On probabilistic identities and coset identities in pro- $p$ groups