Cartesian products as profinite completions

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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.
latex 13 pages

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Group Theory, Rings and Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/109042

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602446
 http://arxiv.org/abs/math/0602446

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arXiv