In 1982 G. Pellegrino and G. Korchmaros constructed a translation plane of order 11^2 arising from replacement of a sporadic chain F' of reguli in a regular spread F of PG(3,11). They also showed that two more non-isomorphic translation planes arise, respectively, by derivation and double derivation in F/F' which correspond to a further replacement of a regulus with its opposite regulus and a pair of reguli with their opposite reguli, respectively. In 1986 Abatangelo and Larato proved that the translation complement of the translation plane by Pellegrino and Korchmaros contains a subgroup isomorphic to SL(2,5). Here the full collineation group of each of the three planes by Pellegrino and Korchmaros is determined.
|Titolo:||Some sporadic translation planes of order 11^2|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1285/i15900932v29n1supplp121|
|Appare nelle tipologie:||1.1 Articolo in rivista|