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The correlations of finite Desarguesian planes, Part II: The classification (I)

โœ Scribed by Barbu C. Kestenband

Publisher
Springer
Year
2005
Tongue
English
Weight
314 KB
Volume
82
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES

The correlations with identity companion
The correlations with identity companion automorphism, of finite Desarguesian planes
โœ Barbu C. Kestenband ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

As a first step towards the general classification of correlations of finite Desarguesian planes, we present, up to isomorphism, all the correlations with identity companion automorphism which are not polarities, of such planes.

The correlations of finite Desarguesian
The correlations of finite Desarguesian planes of square order defined by diagonal matrices
โœ Barbu C. Kestenband ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

The present article represents the next step in our ongoing program of classifying the correlations of finite Desarguesian planes. We show that in PG(2, q 2n ), the correlations defined by diagonal matrices, with companion automorphism (q m ), where (m, 2n) = 1, have the following numbers of absolu