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On fundamental domains of arithmetic Fuchsian groups

Stefan Lemurell (Institutionen för matematik, Matematik/Tillämpad matematik)
Math. Comp. (0025-5718(p)). Vol. 69 (2000), 229, p. 339-349.
[Artikel, refereegranskad vetenskaplig]

Let K be a totally real algebraic number field and O an order in a quaternion algebra A over K. Assume that the group O^1 of units in O with reduced norm equal to 1 is embedded into PSL_{2}(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 O^1 as well as a complete system of generators of O^1.

Nyckelord: Arithmetic Fuchsian groups, quaternion orders, fundamental domains


Published under Stefan Lemurell's former family name Johansson.



Denna post skapades 2007-10-03. Senast ändrad 2015-12-17.
CPL Pubid: 51025

 

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Institutioner (Chalmers)

Institutionen för matematik, Matematik/Tillämpad matematik (1987-2001)

Ämnesområden

Algebra och geometri

Chalmers infrastruktur