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On the Profinite Topology on Negatively Curved Groups

✍ Scribed by Rita Gitik

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
67 KB
Volume
219
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let H and K be quasiconvex subgroups of a negatively curved locally extended Ž . residually finite LERF group G. It is shown that if H is malnormal in G, then the double coset KH is closed in the profinite topology of G. In particular, this is true if G is the fundamental group of an atoroidal LERF hyperbolic 3-manifold, and H is the fundamental group of a totally geodesic boundary component of such manifold.

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