[Binghamton Geometry/Topology Seminar] March 11

[Marco Varisco]

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

Date: Thursday, March 11, 2010

Time: 2:50-3:50 pm

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

Speaker: Dmytro Savchuk (Binghamton University)

Title: Automata generating free products of groups of order 2

Abstract: 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, which involve the notion of a dual automaton. This is a joint
result with Yaroslav Vorobets of Texas A&M University.