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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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Hanoi Towers group as iterated monodromy group
by
Zoran Sunic
Texas A&M University
Coauthors: R. Grigorchuk, V. Nekrashevych

We present the Hanoi group on 3 pegs as iterated monodromy group of a rational post-critical function on the Riemann Sphere. We also consider several related groups and their associated rational functions and Julia sets. As an application, we show that all Hanoi groups have exponential growth. We also show that the Hanoi group on 3 pegs is a finitely generated branch group that is not just infinite.

Date received: March 28, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # casy-01.