%0 Journal Article
%T On the Hall-Janko graph with 100 vertices and the near-octagon of order (2,4)
%A An De Wispelaere
%A Hendrik Van Maldeghem
%J Contributions to Discrete Mathematics
%D 2009
%I University of Calgary
%X In this paper, we construct the Hall-Janko graph inside the split Cayley hexagon H(4). Using this construction, we then embed the near-octagon of order (2,4) as a subgeometry of the dual of H(4), with J_2:2 as its automorphism group. These constructions are based on a lemma determining the possibilities for the structure of the intersection of two subhexagons of order 2 in H(4).
%U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/175