- CARMA SEMINAR
- Speaker: Mr Nick Davis, Department of Mathematics and Statistics, The University of Melbourne
- Title: Automata groups and their self-similarity graphs
- Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
- Time and Date: 4:00 pm, Thu, 15th Nov 2012
Automata groups are a class of groups generated by recursively defined automorphisms of a regular rooted tree. Associated to each automata group is an object known as the self-similarity graph. Nekrashevych showed that in the case where the group satisfies a natural condition known as contracting, the self-similarity graph is Gromov-hyperbolic and has boundary homeomorphic to the limit space of the group action. I will talk about self-similarity graphs of automata groups that do not satisfy the contracting condition.
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