Let G be a collineation group of a finite projective plane pi of odd order fixing an oval Omega. We investigate the case in which G has even order, has two orbits Omega(0) and Omega(1) on Omega, and the action of G on Omega(0) is primitive. We show that if G is irreducible, then pi has a G-invariant desarguesian subplane pi(0) and Omega(0) is a conic of pi(0).
|Titolo:||Irreducible collineation groups with two orbits forming an oval|
|Data di pubblicazione:||2007|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.jcta.2007.03.001|
|Appare nelle tipologie:||1.1 Articolo in rivista|