A classification of the Veldkamp lines of the near hexagon L3 × GQ(2, 2)
Green, Richard M. ; Saniga, Metod
ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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Using a standard technique sometimes (inaccurately) known as Burnside’s Lemma, it is shown that the Veldkamp space of the near hexagon L3 × GQ(2,2) features 156 different types of lines. We also give an explicit description of each type of a line by listing the types of the three geometric hyperplanes it consists of and describing the properties of its core set, that is the subset of points of L3 × GQ(2,2) shared by the three geometric hyperplanes in question.

Publié le : 2017-01-01
DOI : https://doi.org/10.26493/1855-3974.949.f45 
@article{949,
     title = {A classification of the Veldkamp lines of the near hexagon L3 x GQ(2, 2)},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {14},
     year = {2017},
     doi = {10.26493/1855-3974.949.f45},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/949}
}

Green, Richard M.; Saniga, Metod. A classification of the Veldkamp lines of the near hexagon L3 × GQ(2, 2). ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017) . doi : 10.26493/1855-3974.949.f45. http://gdmltest.u-ga.fr/item/949/