We prove that the action of the full collineation group of a symplectic translation plane of even order on the set of completely regular line–ovals is transitive. This provides us with a complete description of the group of collineations fixing a completely regular line–oval.
The group fixing a completely regular line-oval / Maschietti, Antonio. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - STAMPA. - 55:(2010), pp. 37-43. [10.1007/s10623-009-9328-5]
The group fixing a completely regular line-oval
MASCHIETTI, Antonio
2010
Abstract
We prove that the action of the full collineation group of a symplectic translation plane of even order on the set of completely regular line–ovals is transitive. This provides us with a complete description of the group of collineations fixing a completely regular line–oval.File allegati a questo prodotto
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