In this note we apply the theory of Association Schemes to computing the dimension of the subspace U of the 196,884-dimensional Conway- Norton-Griess algebra generated by a set of vectors (called Majorana axis) associated bijectively to the 2A-involutions of the Monster group contained in Harada-Norton group. It is still a conjecture that U is actually a subalgebra of the Conway-Norton-Griess algebra.
|Title of host publication||Quaderni del seminario matematico di Brescia 25/2013|
|Number of pages||7|
|Publication status||Published - 2013|
- Harada-Norton group
- Majorana representation