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
Flag transitive automorphism groups of 2-designs with (γ, λ) = 1
✍ Scribed by Paul-Hermann Zieschang
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 305 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
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
Examples 1.1. (Desarguesian affine spaces). Here S is an affine space AG n (q), where n 2 and q n = p d ; we have G 0 1L n (q), and one of the following holds:
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