Skip to Main Content

Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Some presentations for $\overline {\Gamma }_0(N)$
HTML articles powered by AMS MathViewer

by Antonio Lascurain Orive
Conform. Geom. Dyn. 6 (2002), 33-60
Published electronically: May 30, 2002


Some presentations of the Fuchsian groups defined by the Hecke congruence subgroups \[ \Gamma _{0}( N)\;=\; \left \{\begin {pmatrix} a& b c& d \end {pmatrix} \in SL(2,\mathbb {Z})\;\Big {|} \;\; c\equiv 0\;\; \text {mod}\; N \right \} \] are given. The first is one obtained by the Reidemeister-Schreier rewriting process, thereby completing and correcting Chuman’s work on the subject. The main result (Theorem 3) is the reduction of this huge presentation into another one which is simple and useful. In the process, $\mathbb {Z}_N$ is partitioned into three subsets that exhibit many cyclic and dual properties of its ring structure. For some cases, a minimal presentation derived from the Ford domains is given explicitly in terms of the units and its inverses.
Similar Articles
Bibliographic Information
  • Antonio Lascurain Orive
  • Affiliation: Havre 101, Colonia Villa Verdun, Mexico D.F. 01810 Mexico
  • Email:
  • Received by editor(s): January 8, 2001
  • Received by editor(s) in revised form: April 11, 2002
  • Published electronically: May 30, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 6 (2002), 33-60
  • MSC (2000): Primary 11F06, 20H05, 30F35, 51M10, 52C22; Secondary 13M05, 22E40
  • DOI:
  • MathSciNet review: 1948848