A generalized hexagon of order (t,t) in which certain subsets are maximal may be characterized as the generalized hexagon associated with Dickson’s groupG2(t). From this geometric result, it follows that ifG is a group of automorphisms of a generalized hexagon of order (p,p) for a primep and ifG has rank 4 on points, thenG ⊵G2(p).
Normal Subgroup Polar Space Generalize Quadrangle Symplectic Geometry Unique Path
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