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Description: |
Self-similar groups are described as groups acting by automorphisms on a rooted tree and have been used to find examples of groups with special and exotic properties. Schreier graphs naturally appear in this context as orbital graphs of the action on the levels of the tree. In this talk I will discuss the problem of describing the infinite Schreier graphs, given by the action of a self-similar groups on the boundary of the corresponding rooted tree. I will present motivations, explicit examples, conjectures and a list of open problems.
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