On Products of Closed Subsets in Free Groups

Published 11 Jun 2019 in math.GR | (1906.07275v1)

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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