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Graev metrics on free products and HNN extensions (1111.1538v2)
Published 7 Nov 2011 in math.LO and math.GR
Abstract: We give a construction of two-sided invariant metrics on free products (possibly with amalgamation) of groups with two-sided invariant metrics and, under certain conditions, on HNN extensions of such groups. Our approach is similar to the Graev's construction of metrics on free groups over pointed metric spaces
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