Doubles of groups and hyperbolic LERF 3-manifolds

Details Doubles of groups and hyperbolic LERF 3-manifolds Doubles of groups and hyperbolic LERF 3-manifolds

1997-09-17

arxiv.org/abs/math/9709220v2

Ann. of Math. (2) 150 (1999), no. 3, 775-806

Mathematics

Group Theory

32 pages, published version

Scientific paper

We show that the quasiconvex subgroups in doubles of certain negatively
curved groups are closed in the profinite topology. This allows us to construct
the first known large family of hyperbolic 3-manifolds such that any finitely
generated subgroup of the fundamental group of any member of the family is
closed in the profinite topology.

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