English

On groups with locally compact asymptotic cones

Group Theory 2013-10-29 v1

Abstract

We show how a recent result of Hrushovsky implies that if an asymptotic cone of a finitely generated group is locally compact, then the group is virtually nilpotent.

Keywords

Cite

@article{arxiv.1310.7255,
  title  = {On groups with locally compact asymptotic cones},
  author = {Mark Sapir},
  journal= {arXiv preprint arXiv:1310.7255},
  year   = {2013}
}

Comments

3 pages

R2 v1 2026-06-22T01:54:59.966Z