On the Lorimer-Rahilly and Johnson-Walker translation planes
On the Lorimer-Rahilly and Johnson-Walker translation planes
We investigate finite translation planes of dimension d over the kernel K=GF(q), where q=p k with p a prime, having a collineation group G with either G=PSL (2, w) or G=SL(3, w) 9 where w is a prime power.We derive several restrictions on the planes; for example, if p is …