English

Groups with non-simply connected asymptotic cones

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

We construct a group (an HNN extension of a free group) with polynomial isoperimetric function, linear isodiametric function and non-simply connected asymptotic cones.

Keywords

Cite

@article{arxiv.math/0501542,
  title  = {Groups with non-simply connected asymptotic cones},
  author = {A. Yu. Olshanskii and Mark Sapir},
  journal= {arXiv preprint arXiv:math/0501542},
  year   = {2007}
}

Comments

6 pages