Dehn functions and the space of marked groups

M. Shahryari

Dehn functions and the space of marked groups

Group Theory 2016-01-29 v2

Authors: M. Shahryari

Abstract

In the space of marked group, we suppose that a sequence $(G_i, X_i)$ converges to $(G,X)$ , where $G$ is finitely presented. We obtain an inequality which connects Dehn functions of $G_i$ s and $G$ . As a result, we show that if a sequence $(K, X_i)$ converges to a hyperbolic marked group, then $K$ is already hyperbolic.

Keywords

hyperbolic groups hyperbolic geometry

Cite

@article{arxiv.1601.06982,
  title  = {Dehn functions and the space of marked groups},
  author = {M. Shahryari},
  journal= {arXiv preprint arXiv:1601.06982},
  year   = {2016}
}

Comments

5 pages, Corollary 1 in the previous version was not true

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