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 contributionLimit groups, positive-genus towers and measure equivalence
Original languageEnglish
Pages (from-to)703 - 712
Number of pages10
JournalErgodic Theory and Dynamical Systems
Volume27 (3)
DOIs
Publication statusPublished - Jun 2007

Bibliographical note

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

Fingerprint Dive into the research topics of 'Limit groups, positive-genus towers and measure equivalence'. Together they form a unique fingerprint.

Cite this