# A vertex operator algebra related to E8 with automorphism group O+(10, 2)

@inproceedings{Griess2008AVO, title={A vertex operator algebra related to E8 with automorphism group O+(10, 2)}, author={Robert L. Griess}, year={2008} }

We study a particular VOA which is a subVOA of the E8-lattice VOA and determine its automorphism group. Some of this group may be seen within the group E8(C), but not all of it. The automorphism group turns out to be the 3-transposition group O(10, 2) of order 2357.17.31 and it contains the simple group Ω(10, 2) with index 2. We use a recent theory of Miyamoto to get involutory automorphisms associated to conformal vectors. This VOA also embeds in the moonshine module and has stabilizer in M I…

## 32 Citations

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