Geodesic
A classification of the Veldkamp lines of the near hexagon L_3 × GQ(2, 2)
Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 287-299.

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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.
DOI : 10.26493/1855-3974.949.f45
Keywords: Near hexagons, Geometric hyperplanes, Veldkamp spaces 
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Richard M. Green; Metod Saniga. A classification of the Veldkamp lines of the near hexagon L_3 × GQ(2, 2). Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 287-299. doi : 10.26493/1855-3974.949.f45. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.949.f45/

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