Symmetric (36,15,6) Design Having U(3,3) as an Automorphism Group

Abstract

Up to isomorphism there are four symmetric (36,15,6) designs with automorphisms of order 7. Full automorphism group of one of them is the Chevalley group G(2, 2) ~ U(3,3) : Z2 of order 12096. Unitary group U(3,3) acts transitively on that design. 

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Cite this paper

@inproceedings{Crnkovic2006SymmetricD, title={Symmetric (36,15,6) Design Having U(3,3) as an Automorphism Group}, author={Dean Crnkovic}, year={2006} }