A New Near Octagon and the Suzuki Tower

نویسندگان

  • Anurag Bishnoi
  • Bart De Bruyn
چکیده

We construct and study a new near octagon of order (2, 10) which has its full automorphism group isomorphic to the group G2(4) : 2 and which contains 416 copies of the Hall-Janko near octagon as full subgeometries. Using this near octagon and its substructures we give geometric constructions of the G2(4)-graph and the Suzuki graph, both of which are strongly regular graphs contained in the Suzuki tower. As a subgeometry of this octagon we have discovered another new near octagon, whose order is (2, 4).

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2016