Volodymyr Nekrashevych - Finitely presented groups associated with expanding maps

We will show how symbolic dynamics of expanding self-coverings can be encoded in terms of group theory. We associate with every expanding self-covering a finitely presented group with simple
commutator subgroup. If the space is locally connected, then the group is a complete invariant of the dynamical system: two dynamical systems are topologically conjugate if and only if the
corresponding groups are isomorphic. Some algebraic properties of these groups will be discussed.