Limit groups, positive-genus towers and measure equivalence

Martin R Bridson; Michael Tweedale; Henry Wilton

Limit groups, positive-genus towers and measure equivalence

Group Theory 2007-05-23 v2 Dynamical Systems

Authors: Martin R Bridson , Michael Tweedale , Henry Wilton

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 with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups.

Keywords

group theory

Cite

@article{arxiv.math/0511275,
  title  = {Limit groups, positive-genus towers and measure equivalence},
  author = {Martin R Bridson and Michael Tweedale and Henry Wilton},
  journal= {arXiv preprint arXiv:math/0511275},
  year   = {2007}
}

Comments

10 pages; no figures. Minor changes; now to appear in Ergod. Th. & Dynam. Sys

Limit groups, positive-genus towers and measure equivalence

Abstract

Keywords

Cite

Comments

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