Representations
In characteristic 0 the 4371-dimensional representation of the baby monster does not have a nontrivial invariant algebra structure analogous to the Griess algebra, but Ryba (2007) showed that it does have such an invariant algebra structure if it is reduced modulo 2.
The smallest faithful matrix representation of the Baby Monster is of size 4370 over the finite field of order 2.
Höhn (1996) constructed a vertex operator algebra acted on by the baby monster.
Read more about this topic: Baby Monster Group