ABSTRACT

There is an important class of translation planes called the ‘André planes,’that may be constructed from the Desarguesian plane by a set of mutually disjoint derivations, that is, by ‘multiple derivation.’ The representation of the spreads have the general formn

x = 0; y = 0; y = xq i

m;m(q n1)=(q1) = ;m 2 GF (qn)

o ,

( i is …xed for each ).