On Closed Subsets of Free Groups

2017/09/19 by Rita Gitik, Gitik, Rita, Eliyahu Rips +1
Mathematics · #Geometric and Algebraic Topology #Advanced Topology and Set Theory #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1709.06542

Abstract

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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