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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the discrete groups of Moonshine
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by John Conway, John McKay and Abdellah Sebbar PDF
Proc. Amer. Math. Soc. 132 (2004), 2233-2240 Request permission

Abstract:

We characterize the 171 discrete subgroups of $\mbox {PSL}_2(\mathbb {R})$ occurring in Monstrous Moonshine in terms of their group-theoretic properties alone.
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Additional Information
  • John Conway
  • Affiliation: Department of Mathematics, Fine Hall, Princeton University, Washington Road, Princeton, New Jersey 08544-1000
  • Email: conway@math.princeton.edu
  • John McKay
  • Affiliation: Department of Mathematics and CICMA, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8, Canada
  • Email: mckay@cs.concordia.ca
  • Abdellah Sebbar
  • Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada
  • Email: sebbar@mathstat.uottawa.ca
  • Received by editor(s): August 2, 2002
  • Received by editor(s) in revised form: May 7, 2003
  • Published electronically: March 25, 2004
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 2233-2240
  • MSC (2000): Primary 11F22, 11F03; Secondary 30F35, 20C34
  • DOI: https://doi.org/10.1090/S0002-9939-04-07421-0
  • MathSciNet review: 2052398