Thin Surface Subgroups in Non-uniform Arithmetic Lattices in SO+(n,1)

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2024-04-17
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Abstract

In this thesis I show that the fundamental groups of all non-compact, arithmetic, hyperbolic, n-manifolds for n ≥ 4 have thin surface subgroups. As a consequence of the proof of this theorem I show that the fundamental groups of the doubles of cusped, arithmetic, hyperbolic manifolds are GFERF.

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Advisor
Reid, Alan W
Degree
Doctor of Philosophy
Type
Thesis
Keywords
Arithmetic groups, thin groups, hyperbolic geometry
Citation

Edelman-Munoz, Sara. Thin Surface Subgroups in Non-uniform Arithmetic Lattices in SO+(n,1). (2024). https://hdl.handle.net/1911/116158

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https://hdl.handle.net/1911/116158
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