Profinite completion of Grigorchuk's group is not finitely presented
Abstract
In this paper we prove that the profinite completion G of the Grigorchuk group G is not finitely presented as a profinite group. We obtain this result by showing that H2( G,F2) is infinite dimensional. Also several results are proven about the finite quotients G/ StG(n) including minimal presentations and Schur Multipliers.
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