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arXiv 1503.07214math.GTmath.DG

Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

Juan Pablo Díaz, Alberto Verjovsky, Fabio Vlacci

英文摘要:

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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