On double cosets in free groups
It is shown that for any finitely generated subgroups H and K of a free group F, and for any element g in F the double coset HgK is closed in the profinite topology of F.
math.GR↗
arXiv subjects
Rita Gitik
Publications and source records attributed to Rita Gitik.
Doubles of groups and hyperbolic LERF 3-manifolds
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.
math.GR↗
Ping-Pong on Negatively Curved Groups
We prove several generalisations of the ping-pong lemma for negatively curved groups.
math.GR↗