Glasnik Matematicki, Vol. 34, No.2 (1999), 105-108.
ON SYMMETRIC (36,15,6) DESIGNS
Department of Mathematics, Faculty of Philosophy in Rijeka,
Omladinska 14, 51000 Rijeka, Croatia
Abstract. 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.
1991 Mathematics Subject Classification.
Key words and phrases. Symmetric design, automorphism
group, orbit structure.
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