Design theory
The nonexistence of projective planes of order 12 with a collineation group of order 16
Journal of Combinatorial Theory Series A
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In this article we prove that there is only one symmetric transversal design STD4[12;3] up to isomorphism. We also show that the order of the full automorphism group of STD4[12; 3] is 25· 33 and Aut STD4[12;3] has a regular subgroup as a permutation group on the point set. We used a computer for our research.