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TORSION IN ARITHMETIC FUCHSIAN GROUPS

Published online by Cambridge University Press:  22 February 2006

C. MACLACHLAN
C. MACLACHLAN
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United KingdomC.Maclachlan@maths.abdn.ac.uk
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Abstract

In this paper a formula is derived for the number of conjugacy classes of cyclic subgroups of finite order in those arithmetic Fuchsian groups which are of minimal covolume in their commensurability class. The formula is entirely in terms of the number theoretic data defining the commensurability class of the arithmetic group so that, in particular, any two such groups of minimal covolume in the class, will be isomorphic.

Keywords

11F0620H10
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 14 - 30
Copyright
The London Mathematical Society 2006

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