Abstract
We clarify the explicit structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory and systolic geometry.
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Katz, M.G., Schaps, M. & Vishne, U. Hurwitz quaternion order and arithmetic Riemann surfaces. Geom Dedicata 155, 151–161 (2011). https://doi.org/10.1007/s10711-011-9582-3
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DOI: https://doi.org/10.1007/s10711-011-9582-3
Keywords
- Arithmetic lattice
- Azumaya algebras
- Fuchsian group
- Hurwitz group
- Hurwitz order
- Hyperbolic surface
- Hyperbolic reflection group
- Quaternion algebra
- Subgroup growth
- Systole