ABSTRACT
In this chapter, we show that sharply transitive sets are closely connected to translation planes.
Theorem 8.1. Let pi be a finite translation plane of order pn, where p is a prime and n a positive integer. Choose a basis so that a spread may be represented as follows:
x = 0, y = 0, y = xMi, i = 1, 2, . . . , p n − 1
for Mi, Mi −Mj non-singular, ∀ i 6= j = 1, 2, . . . , p n − 1.
