Compactifications and algebraic completions of Limit groups
Group Theory
2012-04-17 v3
Abstract
In this paper we consider the existence of dense embeddings of Limit groups in locally compact groups generalizing earlier work of Breuillard, Gelander, Souto and Storm [GBSS] where surface groups were considered. Our main results are proved in the context of compact groups and algebraic groups over local fields. In addition we prove a generalization of the classical Baumslag lemma which is a useful tool for generating eventually faithful sequences of homomorphisms. The last section is dedicated to correct a mistake from [BGSS] and to get rid of the even genus assumption.
Cite
@article{arxiv.0904.3771,
title = {Compactifications and algebraic completions of Limit groups},
author = {Jonathan Barlev and Tsachik Gelander},
journal= {arXiv preprint arXiv:0904.3771},
year = {2012}
}
Comments
v2: Substantial changes to sections 7 and 8.2. Typos corrected. References added. v3: Acknowledgement corrected