On the discrete groups of Moonshine-Reference-Cited by-同舟云学术

On the discrete groups of Moonshine

Published:2004-03-25 Issue:8 Volume:132 Page:2233-2240
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Conway John,McKay John,Sebbar Abdellah

Abstract

We characterize the 171 discrete subgroups of PSL 2 ( R ) \mbox {PSL}_2(\mathbb {R}) occurring in Monstrous Moonshine in terms of their group-theoretic properties alone.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-08/S0002-9939-04-07421-0/S0002-9939-04-07421-0.pdf

Reference21 articles.

1. The signature of the normalizer of Γ₀(𝑁);Akbas, M.,1992

2. Lecture Notes in Mathematics, Vol. 476,1975

3. Monstrous moonshine and monstrous Lie superalgebras;Borcherds, Richard E.;Invent. Math.,1992

4. Automorphic forms on 𝑂_{𝑠+2,2}(𝑅) and infinite products;Borcherds, Richard E.;Invent. Math.,1995

5. Understanding groups like Γ₀(𝑁);Conway, J. H.,1996

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