Graev metrics on free products and HNN extensions

Slutsky, Konstantin

doi:10.1090/S0002-9947-2014-06010-8

Graev metrics on free products and HNN extensions
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by Konstantin Slutsky PDF

Trans. Amer. Math. Soc. 366 (2014), 6353-6395 Request permission

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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