engleski

On symmetric (36, 15, 6) designs

Up to isomorphism there are 4 symmetric (36, 15, 6) designs with automorphisms of order 7 and 38 symmetric (36, 15, 6) designs with automorphisms of order 5. For those designs full automorphism groups are determined. Also, all symmetric (36, 15, 6) designs having automorphisms of order 3 acting with 9 and 6 fixed points, or cyclic automorphism groups of order 4 acting standardly are constructed and orders of their full automorphism groups are determined.

symmetric design; automorphism group; orbit structure

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