An approach to the congruence subgroup problem via fractional weight modular forms

In this thesis we develop a new criterion for the congruence subgroup problem in the case of arithmetic groups of $\SU(2,1)$, which in principle can be checked using a computer. Our main theorem states that if there exists a prime $q>3$ and a congruence subgroup $\Gamma'\subset \SU(2,1)(\Z)$...

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Bibliographic Details
Main Author: Ellam, D. C.
Published: University College London (University of London) 2013
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.587817