The graphs of Hoffman-Singleton, Higman-Sims, McLaughlin and the Hermite curve of degree 6 in characteristic 5

نویسنده

  • Ichiro Shimada
چکیده

We construct the graphs of Hoffman-Singleton, Higman-Sims and McLaughlin from certain relations on the set of non-singular conics totally tangent to the Hermitian curve of degree 6 in characteristic 5. We then interpret this geometric construction in terms of the subgroup structure of the automorphism group of this Hermitian curve.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 59  شماره 

صفحات  -

تاریخ انتشار 2014