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Abstract: In this paper we prove that the profinite completion $\mathcal{\hat G}$ ofthe Grigorchuk group $\mathcal{G}$ is not finitely presented as a profinitegroup. We obtain this result by showing that $H^2\mathcal{\hatG},\field{F} 2$ is infinite dimensional. Also several results are proven aboutthe finite quotients $\mathcal{G}- St {\mathcal{G}}n$ including minimalpresentations and Schur Multipliers.



Author: Mustafa Gokhan Benli

Source: https://arxiv.org/







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