Combinatorial Mathematics VII Proceedings of the Seventh Australian
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having an automorphism group which partitions the rows and columns of A into 2 or fewer orbits each.
In this section, we show the construction of Section 2 can be used
to produce an Aq(q 3), q a prime power, which has an automorphism group of order q2-1 acting on it and this group partitions the rows and columns of the array into orbits
of lengths q -i, q+l and i.
When q = 3, we produce the array A* shown earlier.
should be noted that A* was not originally constructed in this manner.
from a resolution of the lines of PG(3,3).
It
It was obtained
For the remainder of this section, we will be interested in constructing a
34
finite projective plane P of order q2 which contains a Baer subplane B and a line £
of P, where B meets ~
in a line, such that th
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