Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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.

 

Computing arithmetic Kleinian groups
HTML articles powered by AMS MathViewer

by Aurel Page;
Math. Comp. 84 (2015), 2361-2390
DOI: https://doi.org/10.1090/S0025-5718-2015-02939-1
Published electronically: March 13, 2015

Abstract:

Arithmetic Kleinian groups are arithmetic lattices in $\mathrm {PSL}_2(\mathbb {C})$. We present an algorithm that, given such a group $\Gamma$, returns a fundamental domain and a finite presentation for $\Gamma$ with a computable isomorphism.
References
Similar Articles
Bibliographic Information
  • Aurel Page
  • Affiliation: Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France, CNRS, IMB, UMR 5251, F-33400 Talence, France, INRIA, F-33400 Talence, France
  • Email: aurel.page@math.u-bordeaux1.fr; a.r.page@warwick.ac.uk
  • Received by editor(s): May 31, 2012
  • Received by editor(s) in revised form: February 6, 2013, September 20, 2013, and February 2, 2014
  • Published electronically: March 13, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Math. Comp. 84 (2015), 2361-2390
  • MSC (2010): Primary 11F06, 11Y99, 30F40; Secondary 11-04, 16U60, 11R52
  • DOI: https://doi.org/10.1090/S0025-5718-2015-02939-1
  • MathSciNet review: 3356030