Identifying geometries preserved by matrix groups

نویسندگان

  • Steve Linton
  • Colva M. Roney-Dougal
چکیده

In this article we show that given a matrix group G of low dimensions over a finite field, there exists at least one Aschbacher class containing G for which one can find all of the corresponding geometries that are preserved by G. For several Aschbacher classes we prove that one can find all ways in which G is a member of that class, irrespective of whether G is a member of another class.

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تاریخ انتشار 2005