Glasnik Matematicki, Vol. 35, No.2 (2000), 271-281.

SYMMETRIC (66,26,10) DESIGNS HAVING Frob55 AS AN AUTOMORPHISM GROUP

Dean Crnković and Sanja Rukavina

Department of Mathematics, Faculty of Philosophy in Rijeka, Omladinska 14, 51000 Rijeka, Croatia
e-mail: deanc@mapef.pefri.hr
e-mail: sanjar@mapef.pefri.hr


Abstract.   Up to isomorphism there are three symmetric (66,26,10) designs with automorphism group isomorphic to Frob55. Among them there is one self-dual and one pair of dual designs. Full automorphism groups of dual designs are isomorphic to Frob55, and full automorphism group of the self-dual design is isomorphic to Frob55 × D10. For those three designs corresponding derived and residual designs with respect to a block are constructed.

1991 Mathematics Subject Classification.   05B05.

Key words and phrases.   Symmetric design, automorphism group, orbit structure.


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