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math.GR2019
On Products of Closed Subsets in Free Groups
Rita Gitik, Eliyahu Rips
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…
math.GR2019
On Geodesic Triangles in Hyperbolic Plane
Rita Gitik
Let M be an orientable hyperbolic surface without boundary and let be a closed geodesic in M. We prove that any side of any triangle formed by distinct lifts of in H2 is sh…