Abstract
We clarify the explicit structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory and systolic geometry.
| Original language | English |
|---|---|
| Pages (from-to) | 151-161 |
| Number of pages | 11 |
| Journal | Geometriae Dedicata |
| Volume | 155 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 2011 |
Bibliographical note
Funding Information:Acknowledgments M. G. Katz is supported by the Israel Science Foundation (grants no. 84/03 and 1294/06) and the Binational Science Foundation (grant 2006393). U. Vishne is supported by the EU research and training network HPRN-CT-2002-00287, ISF Center of Excellence grant 1405/05, and BSF grant no. 2004-083.
Funding
Acknowledgments M. G. Katz is supported by the Israel Science Foundation (grants no. 84/03 and 1294/06) and the Binational Science Foundation (grant 2006393). U. Vishne is supported by the EU research and training network HPRN-CT-2002-00287, ISF Center of Excellence grant 1405/05, and BSF grant no. 2004-083.
| Funders | Funder number |
|---|---|
| ISF Center of Excellence | 1405/05 |
| European Commission | HPRN-CT-2002-00287 |
| United States-Israel Binational Science Foundation | 2004-083, 2006393 |
| Israel Science Foundation | 1294/06, 84/03 |
Keywords
- Arithmetic lattice
- Azumaya algebras
- Fuchsian group
- Hurwitz group
- Hurwitz order
- Hyperbolic reflection group
- Hyperbolic surface
- Quaternion algebra
- Subgroup growth
- Systole
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