In 1971 Rosati showed that every sharply $3$-transitive permutation group $G$ gives rise to an affine plane $\pi$ whose projective closure contains ovals. Such ovals are of hyperbolic type as they have two infinite points. We give a characterisation of the Rosati oval in the regular nearfield plane of dimension $2$ over its centre.
Ovals in a plane coordinatised by a regular nearfield of dimension $2$ over its centre
SONNINO, Angelo
2005-01-01
Abstract
In 1971 Rosati showed that every sharply $3$-transitive permutation group $G$ gives rise to an affine plane $\pi$ whose projective closure contains ovals. Such ovals are of hyperbolic type as they have two infinite points. We give a characterisation of the Rosati oval in the regular nearfield plane of dimension $2$ over its centre.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
JGeom_82.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
78.08 kB
Formato
Adobe PDF
|
78.08 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
