From the 1 of 4 linked papers with an AI index.
4 papers
Engel probability in wreath products of -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…
On probabilistic identities and coset identities in pro- groups
Steffen Kionke, Nowras Otmen, Tommaso Toti +2
It is shown that a probabilistic identity on a -compact -analytic group , a non-archimedean local field, is a coset identity. As an application, one concludes that co…
On subgroup growth of iterated wreath products in product action
Matteo Vannacci
We show that there are hereditarily just infinite groups of any subgroup growth type between and . This is obtained calculating the subgroup growth type of a family…
On commensurators of free groups and free pro-p groups
Yiftach Barnea, Mikhail Ershov, Adrien Le Boudec +3
We study the commensurators of free groups and free pro- groups, as well as certain subgroups of these. We prove that the commensurator of a non-abelian free group of…