sofic 群与自由群上的 profinite 拓扑
群论
2008-09-09 v2
摘要
我们给出了弱 sofic 群（w-sofic groups）的定义。我们的定义是 sofic 群定义的自然推广，其中我们用有限群上的一般双不变度量代替了对称群上的 Hamming 度量。非 w-sofic 群的存在性等价于关于自由群上 profinite 拓扑的某个猜想。
引用
@article{arxiv.0709.0026,
title = {Sofic groups and profinite topology on free groups},
author = {Lev Glebsky and Luis Manuel Rivera Martinez},
journal= {arXiv preprint arXiv:0709.0026},
year = {2008}
}
评论
5 pages, 1 figure. We extend the exposition. We hope it is better now. In greate part it is due to anonimous referee work. The results are the same as in previous version