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

Delendtsheer, Anne, Doyen, Jean, Siemons, Johannes and Tamburini, Chiara (1986) Doubly homogeneous 2-(v, k, 1) designs. Journal of Combinatorial Theory, Series A, 43 (1). pp. 140-145.

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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 = 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).

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:26
Last Modified:	28 Mar 2025 05:09
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20878
DOI:	10.1016/0097-3165(86)90033-6

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