Hall's Theorem for limit groups

Details Hall's Theorem for limit groups Hall's Theorem for limit groups

2006-05-19

arxiv.org/abs/math/0605546v4

Mathematics

Group Theory

39 pages, 4 figures, added a double-coset-separability result, to appear in GAFA

Scientific paper

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.

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