Finitely generated subgroups of lattices in PSL(2,C)

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Let G be a lattice in PSL(2,C). The pro-normal topology on G is defined by taking all cosets of non-trivial normal subgroups as a basis. This topology is finer than the pro-finite topology, but it is not discrete. We prove that every finitely generated subgroup H<G is closed in the pro-normal topology. As a corollary we deduce that if M is a maximal subgroup of a lattice in PSL(2,C) then either M is finite index or M is not finitely generated.

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Geometric Topology, Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/74978

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504441
 http://arxiv.org/abs/math/0504441

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arXiv