## Abstract

Let G be a lattice in PSL_{2}(C). The pro-normal topology on G is defined by taking all cosets of nontrivial 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 δ < G is closed in the pro-normal topology. As a corollary we deduce that if H is a maximal subgroup of a lattice in PSL_{2}(C), then either H is of finite index or H is not finitely generated.

Original language | English |
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Pages (from-to) | 2667-2676 |

Number of pages | 10 |

Journal | Proceedings of the American Mathematical Society |

Volume | 138 |

Issue number | 8 |

DOIs | |

State | Published - 1 Aug 2010 |

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