Compactifications and algebraic completions of Limit groups

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.

v2: Substantial changes to sections 7 and 8.2. Typos corrected. References added. v3: Acknowledgement corrected

References in corpus (1)

• Dense embeddings of surface groups

Cited by in corpus (3)

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• Highly Transitive Actions of Surface Groups