# Limit groups, positive-genus towers and measure equivalence

MR Bridson, MP Tweedale, H Wilton

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

## Abstract

By definition, an $\omega$-residually free tower is positive-genus if all surfaces used in its construction are of positive-genus. We prove that every limit group is virtually a subgroup of a positive-genus, $\omega$-residually free tower. By combining this construction with results of Gaboriau, we prove that elementarily free groups are measure-equivalent to free groups.
Translated title of the contribution Limit groups, positive-genus towers and measure equivalence English 703 - 712 10 Ergodic Theory and Dynamical Systems 27 (3) https://doi.org/10.1017/S0143385706001039 Published - Jun 2007

### Bibliographical note

Publisher: Cambridge University Press
Other identifier: EISSN 1469-4417

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