${\mathbb{Z}}_3$-orbifold construction of the Moonshine vertex operator algebra and some maximal $3$-local subgroups of the Monster

Hsian-Yang Chen, Ching Hung Lam, Hiroki Shimakura

In this article, we describe some maximal $3$-local subgroups of the Monster simple group using vertex operator algebras (VOA). We first study the holomorphic vertex operator algeb…