## Abstract commensurability and quasi-isometry classification of hyperbolic surface group amalgams.

Stark, Emily.

2015

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• Abstract: Let $\mathcal{X}_S$ denote the class of spaces homeomorphic to two closed orientable surfaces of genus greater than one identified to each other along an essential simple closed curve in each surface. Let $\mathcal{C}_S$ denote the set of fundamental groups of spaces in $\mathcal{X}_S$. In this dissertation, we characterize the abstract commensurability classes in $\mathcal{C}_S$ in ... read more
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