ABSTRACT

A ‘subgeometry partition’ is a partition of a projective space by subgeometries. For example, when Σ is isomorphic to PG(2m, q2), the partition components are Baer subgeometries isomorphic to PG(2m, q) and we say that the partition is a ‘Baer subgeometry partition’. When Σ is isomorphic to PG(2n−1, q2), it is possible to have partition of β PG(n− 1, q2)’s and α PG(2n− 1, q)’s. The configuration is such that α(q + 1) + β = q2n + 1 and the partition is called a ‘mixed subgeometry partition’.