Original scientific paper

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

Dean Crnković
Sanja Rukavina

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.

Keywords

Symmetric design; automorphism group; orbit structure

Hrčak ID:

4877

URI

https://hrcak.srce.hr/4877

Publication date:

1.12.2000.

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