An oval script O sign of a projective plane is called two-transitive if there is a collineation group G fixing script O sign and acting 2-transitively on its points. If the plane has odd order, then the plane is desarguesian and the oval is a conic. In the present paper we prove that if a plane has order a power of two and admits a two-transitive oval, then either the plane is desarguesian and the oval is a conic, or the plane is dual to a Lüneburg plane. © de Gruyter 2006.

Two-transitive ovals / Maschietti, Antonio. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 6:2(2006), pp. 323-332. [10.1515/advgeom.2006.019]

Two-transitive ovals

MASCHIETTI, Antonio
2006

Abstract

An oval script O sign of a projective plane is called two-transitive if there is a collineation group G fixing script O sign and acting 2-transitively on its points. If the plane has odd order, then the plane is desarguesian and the oval is a conic. In the present paper we prove that if a plane has order a power of two and admits a two-transitive oval, then either the plane is desarguesian and the oval is a conic, or the plane is dual to a Lüneburg plane. © de Gruyter 2006.
2006
l\"uneburg plane; lüneburg plane; oval; projective plane; spread; suzuki group; symplectic translation plane
01 Pubblicazione su rivista::01a Articolo in rivista
Two-transitive ovals / Maschietti, Antonio. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 6:2(2006), pp. 323-332. [10.1515/advgeom.2006.019]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/29968
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 5
social impact