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Flag-transitive extensions ofCngeometries

โœ Scribed by A. Del Fra; D. Ghinelli; T. Meixner; A. Pasini


Publisher
Springer
Year
1991
Tongue
English
Weight
1010 KB
Volume
37
Category
Article
ISSN
0046-5755

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โœฆ Synopsis


We consider locally Cn-geometries where all planes are circular spaces (i.e., complete graphs). We call them extensions of Cn-geometries or (c.Cn) geometries, for short. We give a classification of finite flag-transitive (c.Cn) geometries when n/> 3. A classification is given also in the case of n = 2 under the hypothesis that residues of points are thick classical generalized quadrangles.


๐Ÿ“œ SIMILAR VOLUMES


Quadratic Extensions of Flag-transitive
โœ Yutaka Hiramine; Vikram Jha; Norman L. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 256 KB

In this article, the finite translation planes which are quadratic extensions of flag-transitive subplanes are classified as either Desarguesian or Hall.

Finite flag-transitive semiovals
โœ Anne Delandtsheer ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 490 KB
Flag-transitive C3-geometries
โœ Antonio Pasini ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 902 KB

Pasini, A., Flag-transitive C,-geometries, Discrete Mathematics 117 (1993) 169-182. We obtain conditions on the structure and the parameters of an anomalous finite thick flagtransitive C,-geometry.