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arxiv: 1709.06542 · v1 · pith:IGWC7PS2new · submitted 2017-09-19 · 🧮 math.GR

On Closed Subsets of Free Groups

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keywords freeclosedgroupprofinitetopologyexamplesfinitelygenerated
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We give two examples of a finitely generated subgroup of a free group and a subset, closed in the profinite topology of a free group, such that their product is not closed in the profinite topology of a free group.

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