## Topology & Geometric Group Theory Seminar

## Fall 2009

### 1:30 – 2:30, Malott 203

Tuesday, November 17

**Dmytro
Savchuk**, Binghamton University

*Automata generating free products of groups of order 2*

We construct a family of automata with n states, n>3, acting on a
rooted binary tree that generate the free products of cyclic groups of
order 2. This family generalizes the so-called Bellaterra automaton,
which is a 3-state automaton generating the free product of 3 groups
of order 2. I will give short exposition of the history of this
question, explain the construction and main ideas behind the proof.
This is a joint result with Yaroslav Vorobets of Texas A&M
University.

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