Let O be an oval in a finite projective plane of even order n admitting a collineation group G acting 2-transitively on the points of the oval. If G fixes an external line then the group G is described in some detail and, using a result of Hering, is shown to contain the 1-dimensional affine semilinear group in its natural permutation representation.
On a Theorem of Hering and Two-Transitive Ovals with a Fixed External Line / Bonisoli, Arrigo. - STAMPA. - 190:(1997), pp. 169-183. (Intervento presentato al convegno Conference on Mostly Finite Geometries (TEDFEST 96) tenutosi a UNIV IOWA, IOWA CITY, IA nel MAR, 1996).
On a Theorem of Hering and Two-Transitive Ovals with a Fixed External Line
BONISOLI, Arrigo
1997
Abstract
Let O be an oval in a finite projective plane of even order n admitting a collineation group G acting 2-transitively on the points of the oval. If G fixes an external line then the group G is described in some detail and, using a result of Hering, is shown to contain the 1-dimensional affine semilinear group in its natural permutation representation.
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