Cartesian products as profinite completions
群论
2007-05-23 v1 环与代数
摘要
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.
引用
@article{arxiv.math/0602446,
title = {Cartesian products as profinite completions},
author = {Martin Kassabov and Nikolay Nikolov},
journal= {arXiv preprint arXiv:math/0602446},
year = {2007}
}
备注
latex 13 pages