In this paper, we prove that if D is a 2-(v, k, 1) design with G β€ 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).
Some Blocking Semiovals which Admit a Homology Group
β Scribed by Chihiro Suetake
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 95 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
The study of blocking semiovals in finite projective planes was motivated by Batten [1] in connection with cryptography. Dover in [4] studied blocking semiovals in a finite projective plane of order q which meet some line in q -1 points. In this note, some blocking semiovals in P G(2, q) are considered which admit a homology group, and three new families of blocking semiovals are constructed. Any blocking semioval in the first or the third family meets no line in q -1 points.
π SIMILAR VOLUMES
## Abstract We give two constructions of a balanced incompleteβblock design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properti
A search problem on graphs which generalizes some group testing problems with two defectives, Discrete Mathematics 88 (1991) 121-127. We consider a search problem which generalizes the group testing problems previously studied in papers of Chang/Hwang and Chang/Hwang/Lin. In its general form for a
A well-known conjecture of Broue in the representation theory of finite groups Γnvolves equivalences of derived categories of blocks. The aim of this paper is to verify this conjecture for defect 2 blocks of symmetric groups. Actually we prove for these blocks a refinement of Broue's conjecture due