[Binghamton Geometry/Topology Seminar] September 24

[Marco Varisco]

Binghamton Geometry/Topology Seminar
http://www.math.binghamton.edu/dept/topsem/

Date: Thursday, September 24, 2009

Time: 2:50 pm

Place: Library North 2205
(followed by coffee/tea in the Anderson Reading Room)

Speaker: Dmytro Savchuk

Title: Iterated monodromy group of the map z --> z^2+i
as an example of L-presented group

Abstract: L-presented groups are finitely generated groups that admit
a presentation involving finitely many relators and their iterations
by substitution. The presence of L-presentation is important from
different points of view. Such presentations are at the first level of
complexity after the finite presentations and quite often provide the
simplest way to describe a group that is not finitely presented.
Further, such presentations can be used to embed a group into a
finitely presented group in a way that preserves many properties of
the original group. It is known that many iterated monodromy groups
admit L-presentation. In this talk I will concentrate on a particular
example of this sort --- iterated monodromy group of the map
z --> z^2+i.
I will show how to compute the automaton generating this group and
give an idea how to obtain an L-presentation.