## Abstract

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 = p

1. (1)D is an affine space over a subfield of GF(p

2. (2)D is a Netto system, k = 3 and p ≡ 7 (mod 12).

^{n}for some prime p ≡ 3 (mod 4), n is odd and1. (1)D is an affine space over a subfield of GF(p

^{n}) or2. (2)D is a Netto system, k = 3 and p ≡ 7 (mod 12).

Original language | English |
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Pages (from-to) | 140-145 |

Number of pages | 6 |

Journal | Journal of Combinatorial Theory, Series A |

Volume | 43 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1986 |