Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout¿Metz unitals

• Autores: Norman L. Johnson, Rolando Pomareda
• Localización: Journal of Combinatorial Theory, Series A, ISSN 1096-0899, Vol. 114, Nº. 4, 2007, págs. 658-680
• Idioma: inglés
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• Resumen

  • It is shown that for every semifield spread in PG(3,q) and for every parabolic Buekenhout¿Metz unital, there is a collineation group of the associated translation plane that acts transitively and regularly on the affine points of the parabolic unital. Conversely, any spread admitting such a group is shown to be a semifield spread. For hyperbolic Buekenhout unitals, various collineation groups of translation planes admitting such unitals and the associated planes are determined.