Cartesian products as profinite completions

Details Cartesian products as profinite completions Cartesian products as profinite completions

2006-02-20

arxiv.org/abs/math/0602446v1

Mathematics

Group Theory

latex 13 pages

Scientific paper

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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