## 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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