# Engel conditions in groups of automorphisms of rooted trees

Groups of automorphisms of $d$-adic rooted trees  have been studied for years as an important source of groups with interesting properties. For example, many of their subgroups constitute a counterexample to the General Burnside Problem. The question whether every Engel group is locally nilpotent is the analogue of the general Burnside problem in the realm of Engel groups.

In this talk we survey recent results about Engel conditions in some general families of groups of automorphisms of rooted trees.

This is joint work with G.A. Fern\'andez-Alcober, A. Garreta, and G. Tracey.

## Date and Venue

Start Date
Venue
Room FC1 030, DMat-FCUP
End Date

Marialaura Noce

## Speaker's Institution

University of Salerno - University of the Basque Country

## Area

Semigroups, Automata and Languages