In this paper, we prove that if D is a 2-(v, k, 1) design with G ≤ Aut(D) block primitive and soc (G) = 2 G 2 (q) then D is a Ree unital with parameters 2-(q 3 + 1, q + 1, 1).
✦ LIBER ✦
Line-Primitive 2−(v, k, 1) Designs with k/(k, v)⩽10
✍ Scribed by Huiling Li; Weijun Liu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 148 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
Let G be an automorphism group of a 2&(v, k, 1) design. In this paper, we prove that if G is line-primitive and kÂ(k, v) 10, then G is also point-primitive.
📜 SIMILAR VOLUMES
Block Primitive 2- (v, k, 1) Designs Adm
✍
Shenglin Zhou
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 156 KB
Doubly homogeneous 2-(v, k, 1) designs
✍
Anne Delandsheer; Jean Doyen; Johannes Siemons; Chiara Tamburini
📂
Article
📅
1986
🏛
Elsevier Science
🌐
English
⚖ 296 KB
Cycle structures of automorphisms of 2-(
✍
Bridget S. Webb
📂
Article
📅
1995
🏛
John Wiley and Sons
🌐
English
⚖ 460 KB
An automorphism of a 2-(v, k, 1) design acts as a permutation of the points and as another of the blocks. We show that the permutation of the blocks has at least as many cycles, of lengths n > k, as the permutation of the points. Looking at Steiner triple systems we show that this holds for all n un
Solvable Block-Transitive Automorphism G
✍
Huiling Li; Weijun Liu
📂
Article
📅
2001
🏛
Elsevier Science
🌐
English
⚖ 131 KB
Non-embeddable quasi-residual designs wi
✍
Tran van Trung
📂
Article
📅
1986
🏛
Elsevier Science
🌐
English
⚖ 190 KB
On (v, k, λ) graphs and designs with tri
✍
F.C Bussemaker; W.H Haemers; J.J Seidel; E Spence
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 633 KB