Topology & Geometric Group Theory Seminar

Spring 2009

1:30 – 2:30, Malott 207

Tuesday, April 21

Adam Piggott, Bucknell College

Normal forms for automorphisms of groups

We discuss a collaboration with Kim Ruane in which we exhibit regular languages of normal forms for the automorphism groups of Universal Coxeter groups (free products of cyclic groups of order two) and related groups, including the palindromic automorphisms of free groups. This means that we choose a preferred way to spell each element of the automorphism group as a word in a particular finite generating set, and that our choices can be recognized by finite state automata. Our work follows ideas of Gutierrez and Krstic [1998].

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