Glasnik Matematicki, Vol. 36, No.1 (2001), 105-125.

SOME NEW TRIPLANES OF ORDER TWELVE

Sanja Rukavina

Department of Mathematics, Faculty of Phylosophy, Omladinska 14, 51000 Rijeka, Croatia
e-mail: sanjar@mapef.perfi.hr


Abstract.   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 isomophic to one of the following groups: S3 × E4, A4 × Z2, E4 × A4, E8 : F21, (E8 : F21) × Z2.

1991 Mathematics Subject Classification.   05B05.

Key words and phrases.   Triplane, automorphism group, orbit structure.


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