Words and growth of groups acting on rooted trees
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Wed, 17/10/2012 16:00 |
Elisabeth Fink (University of Oxford) |
Junior Geometric Group Theory Seminar  |
SR2 |
| I will explain a construction of a group acting on a rooted tree, related to the Grigorchuk group. Those groups have exponential growth, at least under certain circumstances. I will also show how it can be seen that any two elements fulfil a non-trivial relation, implying the absence of non-cyclic free subgroups. | |||