Belegradek, Oleg2024-07-182024-07-1820120933-58461432-0665https://doi.org/10.1007/s00153-012-0298-3https://hdl.handle.net/11411/7102We prove that any torsion-free, residually finite relatively free group of infinite rank is not -homogeneous. This generalizes Sklinos' result that a free group of infinite rank is not -homogeneous, and, in particular, gives a new simple proof of that result.eninfo:eu-repo/semantics/closedAccessGroup VarietyRelatively Free GroupHomogeneous StructureElementary TheoryArticle2-s2.0-8486705963810.1007/s00153-012-0298-37877.AğuQ178151Q4WOS:000309348800008