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Arithmetic groups with isomorphic finite quotients
Arithmetic groups isomorphic finite quotients Group Theory
2011/9/16
Abstract: Two finitely generated groups have the same set of finite quotients if and only if their profinite completions are isomorphic. Consider the map which sends (the isomorphism class of) an S-ar...
We compute presentations for the finite quotients $\mathcal{G}_n=\mathcal{G}/St_\mathcal{G}(n)$ of the Grigorchuk group $\mathcal{G}$. We show that Schur Multipliers of these quotients are $H_2(\math...