๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Automorphism groups of flocks of oval cones

โœ 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.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


On the automorphism group of a cone
โœ J.G. Horne ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 704 KB
The Doubly Transitive Flocks of Quadrati
โœ V. Jha; N.L. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

We classify the flocks of quadratic cones in PG(3, q), q odd, that admit the group G โ‰ค 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,

Automorphisms of Automorphism Groups of
โœ Martin R. Bridson; Karen Vogtmann ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

If n G 3 and F is free of rank n, then Out Aut F s Out Out F s 1 . n n n แฎŠ 2000 Academic Press n is an isomorphism. Tits's theorem leads to a proof that the outer automor-

Automorphism groups of pictures
โœ Gerhard Behrendt ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB

## Abstract A picture is a simple graph together with an edgeโ€coloring, 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