Graev metrics on free products and HNN extensions

Details Graev metrics on free products and HNN extensions Graev metrics on free products and HNN extensions

2011-11-07

arxiv.org/abs/1111.1538v1

Mathematics

Logic

Scientific paper

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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