engleski

Symmetric (66, 26, 10) designs having Frob_55 as an automorphism group

Up to isomorphism there are three symmetric (66, 26, 10) designs with automorphism group isomorphic to Frob_55. Among them there is one self-dual and one pair of dual designs. Full automorphism groups of dual designs are isomorphic to Frob_55, and full automorphism group of the self-dual design is isomorphic to Frob_55 x D_10. For those three designs corresponding derived and residual designs with respect to a block are constructed.

symmetric design; automorphism group; orbit structure

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