Block transitive automorphism groups of designs
โ Scribed by Alan R Camina; Terence M Gagen
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 283 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The classification of the finite simple groups has shown that most of the finite simple groups possess a natural representation as a flag transitive automorphism group of a suitable geometry; conversely, a successful treatment of larger classes of geometries can often be ensured only under additiona
Cameron, P.J. and C.E. Praeger, Block-transitive t-design I: point-imprimitive designs, Discrete Mathematics 118 (1993) 33-43. We study block-transitive, point-imprimitive t-(v, k, A) designs for fixed t, v and k. A simple argument shows that we can assume that such a design admits a maximal imprim
It is shown that isotopic loops of order p n +1, p a prime, which have transitive automorphism groups are in fact isomorphic. The proof uses the Sylow theorems to obtain an isomorphism from an arbitrary isotopism. The result is applied to the additive loops of neofields of order p n +1. ## 1997 Aca