Construction of elements in the closure of Grigorchuk group

Details Construction of elements in the closure of Grigorchuk group Construction of elements in the closure of Grigorchuk group

2006-07-30

arxiv.org/abs/math/0607778v2

Mathematics

Group Theory

Scientific paper

We describe constraints that need to be satisfied ``near the top'' of the portraits of the elements in Grigorchuk group. These constraints, if satisfied by the portraits of all sections of some binary tree automorphism, guarantee that this automotphism belongs to the closure of Grigorchuk group in the pro-finite group of binary tree automorphisms. The constraints may be viewed as an effective version of a more conceptual description given earlier by Grigorchuk.

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