The group of symmetries of the shorter Moonshine module

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Abstract

It is shown that the automorphism group of the shorter Moonshine module VB ♮ constructed in the author’s Ph.D. thesis (Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Math. Schr. 286: 1996) is the direct product of the finite simple group known as the Baby Monster and the cyclic group of order 2.

Keywords

Vertex operator algebras Baby Monster Sporadic groups 

Mathematics Subject Classification (2000)

17B69 20B25 20D08 
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Copyright information

© Mathematisches Seminar der Universität Hamburg and Springer 2010

Authors and Affiliations

  1. 1.Department of MathematicsKansas State UniversityManhattanUSA

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