Automorphism groups of flocks of oval cones
โ Scribed by Vikram Jha; Norman L. Johnson
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 708 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
โฆ Synopsis
This article gives a complete classification of even order flocks of oval cones that admit linear doubly transitive automorphism groups. The main theorem shows that the only possible even order examples are the linear flocks, the translation oval flocks of Thas and the Betten-Fisher-Thas-Walker flocks.
๐ SIMILAR VOLUMES
We classify the flocks of quadratic cones in PG(3, q), q odd, that admit the group G โค PGL(4, q) acting doubly transitively on the conics of the flock. This yields, in conjunction with a predecessor to this paper, a complete classification of the doubly transitive oval and quadratic flocks in PG(3,
If n G 3 and F is free of rank n, then Out Aut F s Out Out F s 1 . n n n แฎ 2000 Academic Press n is an isomorphism. Tits's theorem leads to a proof that the outer automor-
## Abstract A picture is a simple graph together with an edgeโcoloring, such that each vertex is incident with exactly one edge of each color. An automorphism of a picture is a graph automorphism that preserves the colors of the edges. We show that every group is isomorphic to the full automorphism