Tuesday, November 17
Dmytro Savchuk, Binghamton University
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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