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Cartesian products as profinite completions

Martin Kassabov·Nikolay Nikolov
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Abstract

We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions.

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Martin Kassabov, Nikolay Nikolov. 2006-02-20. Cartesian products as profinite completions. https://arxiv.org/abs/math/0602446

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