## Abstract

In this paper, we prove that the full automorphism group of the ℤ_{2}-orbifold of the Barnes-Wall lattice vertex operator algebra of central charge 32 has the shape 2^{27}.E 6(2). In order to identify the group structure, we introduce a graph structure on the Griess algebra and show that it is a rank 3 graph associated to E 6(2).

Original language | English |
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Pages (from-to) | 343-361 |

Number of pages | 19 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 156 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2014 Mar |

## ASJC Scopus subject areas

- Mathematics(all)

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