Cartesian products as profinite completions
Group Theory
2007-05-23 v1 Rings and Algebras
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.
Cite
@article{arxiv.math/0602446,
title = {Cartesian products as profinite completions},
author = {Martin Kassabov and Nikolay Nikolov},
journal= {arXiv preprint arXiv:math/0602446},
year = {2007}
}
Comments
latex 13 pages