Limit groups, positive-genus towers and measure equivalence

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104877By definition, an $ω$-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 $ω$-residually free tower. By combining this with results of Gaboriau, we prove that elementarily free groups are measure equivalent to free groups.10 pages; no figures. Minor changes; now to appear in Ergod. Th. & Dynam. SysGroup TheoryDynamical Systems20F65, 37A20 (20E05, 22F10)Limit groups, positive-genus towers and measure equivalencetext