On fundamental domains of arithmetic Fuchsian groups

Let K be a totally real algebraic number field and O an order in a quaternion algebra A over K. Assume that the group O1 of units in O with reduced norm equal to 1 is embedded into P SL2(R) as an arithmetic Fuchsian group. It is shown how Ford's algorithm can be effectively applied in order to determine a fundamental domain of O1 as well as a complete system of

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Stefan J. Johansson
• Keywords: Arithmetic Fuchsian Group, MOC 2000, Quaternion Algebra, Totally Real Algebraic Number Field