Limit groups as limits of free groups: compactifying the set of free groups
Group Theory
2007-05-23 v2
Abstract
We give a topological framework for the study of Sela's limit groups: limit groups are limits of free groups in a compact space of marked groups. Many results get a natural interpretation in this setting. The class of limit groups is known to coincide with the class of finitely generated fully residually free groups. The topological approach gives some new insight on the relation between fully residually free groups, the universal theory of free groups, ultraproducts and non-standard free groups.
Keywords
Cite
@article{arxiv.math/0401042,
title = {Limit groups as limits of free groups: compactifying the set of free groups},
author = {Christophe Champetier and Vincent Guirardel},
journal= {arXiv preprint arXiv:math/0401042},
year = {2007}
}
Comments
Decembre 2003. 57 pages. (Correction d'une imprecision)