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Topics in Geometric Group Theory |
| November 05, 2007 to November 09, 2007 |
| Organized By: Noel Brady, Mike Davis, Mark Feighn |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Space of marked groups and non-uniform exponential growth
Thursday November 8, 2007
02:00PM - 02:50PM
Speakers:
Volodymyr Nekrashevych
Abstract:
We construct a new example of a group of non-uniform exponential growth, which is an extension of an abelian group by the Grigorchuk-Erschler group. This group has Cayley graphs locally isomorphic to the Cayley graphs of the iterated monodromy group of $z^2+i$. Both groups belong to an interesting Cantor set of marked groups with dense isomorphism classes, related to a post-critically finite rational map of $PC^2$.
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