Doubly homogeneous 2-(v, k, 1) designs

Anne Delendtsheer, Jean Doyen, Johannes Siemons, Chiara Tamburini

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25 Citations (Scopus)


If D is a 2-(v, k, 1) design admitting a group G of automorphisms which acts doubly homogeneously but not doubly transitively on the points, we prove that v = pn for some prime p ≡ 3 (mod 4), n is odd and
1. (1)D is an affine space over a subfield of GF(pn) or

2. (2)D is a Netto system, k = 3 and p ≡ 7 (mod 12).
Original languageEnglish
Pages (from-to)140-145
Number of pages6
JournalJournal of Combinatorial Theory, Series A
Issue number1
Publication statusPublished - 1986

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