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arXiv · 1906.07275

On Products of Closed Subsets in Free Groups

Rita Gitik·Eliyahu Rips
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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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Rita Gitik, Eliyahu Rips. 2019-06-11. On Products of Closed Subsets in Free Groups. https://arxiv.org/abs/1906.07275

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