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Limit groups, positive-genus towers and measure-equivalence
Published online by Cambridge University Press: 12 February 2007
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.
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- 2007 Cambridge University Press
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