English

Graev metrics on free products and HNN extensions

Logic 2013-03-19 v2 Group Theory

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

Keywords

Cite

@article{arxiv.1111.1538,
  title  = {Graev metrics on free products and HNN extensions},
  author = {Konstantin Slutsky},
  journal= {arXiv preprint arXiv:1111.1538},
  year   = {2013}
}