A Classification of the Veldkamp Lines of the Near Hexagon L_3 times GQ(2, 2)
arXiv:1310.2897
Abstract
Using a standard technique sometimes (inaccurately) known as Burnside's Lemma, it is shown that the Veldkamp space of the near hexagon L_3 times 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 L_3 times GQ(2, 2) shared by the three geometric hyperplanes in question.
13 pages, 3 tables. arXiv admin note: text overlap with arXiv:0908.0989; V2 - corrected and slightly expanded version following reviewers' comments/suggestions