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arxiv: 1503.07214 · v1 · pith:JWUH47VKnew · submitted 2015-03-24 · 🧮 math.GT · math.DG

Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

classification 🧮 math.GT math.DG
keywords mathbbkleinianalgebraarithmeticdefinediscretedivisiongroups
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Using the rings of Lipschitz and Hurwitz integers $\mathbb{H}(\mathbb{Z})$ and $\mathbb{H}ur(\mathbb{Z})$ in the quaternion division algebra $\mathbb{H}$, we define several Kleinian discrete subgroups of $PSL(2,\mathbb{H})$

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