engleski

Some new triplanes of order twelve

Up to isomorphism there are 72 symmetric (71, 15, 3) designs admitting an automorphism of order 6 acting with one fixed point. Full automorphism groups of those designs are isomorphic to one of the following groups: S3xE4, A4xZ2, E4xA4, E8:F21, (E8:F21)xZ2.

triplane; automorphism group; orbit structure

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