The Bianchi groups are subgroup separable on geometrically finite subgroups

Details The Bianchi groups are subgroup separable on geometrically finite subgroups The Bianchi groups are subgroup separable on geometrically finite subgroups

1998-11-19

arxiv.org/abs/math/9811114v2

Mathematics

Geometric Topology

19 pages

Scientific paper

We show that for certain arithmetic groups, geometrically finite subgroups
are the intersection of finite index subgroups containing them. Examples are
the Bianchi groups and the Seifert-Weber dodecahedral space. In particular, for
manifolds commensurable with these groups, immersed incompressible surfaces
lift to embeddings in a finite sheeted covering.

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