A rank six geometry related to the McLaughlin sporadic simple group
In the literature, there are but a few incidence geometries on which the McLaughlin sporadic group McL acts as a flag-transitive automorphism group. Their highest rank is four. In the present paper, we construct a geometry of rank six on which McL acts flag-transitively and which has the following diagram. [GRAPHICS]
incidence geometry mclaughlin sporadic group