On products of closed subsets in free groups

Elementary Theory of Groups and Group Rings, and Related Topics Pub Date : 2019-06-11 DOI:10.1515/9783110638387-009

Rita Gitik, E. Rips

引用次数: 0

Abstract

We present examples of closed subsets of a free group such that their product is not closed in the profinite topology. We discuss how to characterize a subset of a free group which is closed in the profinite topology and its product with any finitely generated subgroup of a free group is also closed in the profinite topology.

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关于自由群中闭子集的积

我们给出了自由群的闭子集的例子，使得它们的乘积在无限拓扑中不闭合。讨论了在无限拓扑上封闭的自由群的子集及其与任意有限生成的自由群的子群的积在无限拓扑上也是封闭的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Elementary Theory of Groups and Group Rings, and Related Topics

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