Hall's Theorem for limit groups

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A celebrated theorem of Marshall Hall Jr. implies that finitely generated free groups are subgroup separable and that all of their finitely generated subgroups are retracts of finite-index subgroups. We use topological techniques inspired by the work of Stallings to prove that all limit groups share these two properties. This answers a question of Sela.
39 pages, 4 figures, added a double-coset-separability result, to appear in GAFA

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Group Theory, Geometric Topology, 20F65 (20E26, 20E05)

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http://salesiana.dossiersoluciones.com/handle/123456789/129950

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605546
 http://arxiv.org/abs/math/0605546

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arXiv