engleski

On symmetric (69, 17, 4)-designs admitting an action of Frobenius groups

The aim of this paper is to achieve the complete classification of (69, 17, 4)-designs admitting an action of any Frobenius group of automorphisms the kernel of which is isomorphic to one of the cyclic groups of order 13, 17 and 23. A positive result can be got only in the case of the nonabelian group of order 39, where the cyclic group of order 3 fixes exactly 9 points.

Symmetric design; Frobenius group; Orbit structure; Indexing

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