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Commensurability classes of arithmetic Fuchsian surface groups of genus 2

Published online by Cambridge University Press:  28 September 2009

C. MACLACHLAN  and
G. ROSENBERGER
C. MACLACHLAN
Affiliation:
Department of Mathematical Sciences, Aberdeen University, Aberdeen AB24 3UE. e-mail: C.Maclachlan@abdn.ac.uk
G. ROSENBERGER
Affiliation:
Fakultät für Mathematik, Technische Universität Dortmund, 44221 Dortmund, Germany. e-mail: rosenber@mathematik.uni-dortmund.de
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Abstract

Here we determine the arithmetic data i.e. the totally real number field and the set of ramified places of the defining quaternion algebra, of all those commensurability classes of arithmetic Fuchsian groups which contain a surface group of genus 2, i.e. a group of signature (2;– –).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 148 , Issue 1 , January 2010 , pp. 117 - 133
Copyright
Copyright © Cambridge Philosophical Society 2009

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