On Collineation Groups of Finite Projective Spaces

نویسنده

  • David Perin
چکیده

Let V be a vector space of finite dimension n over a finite field GF(q). Let Lk(V ) denote the set of k-dimensional subspaces of V. Several authors have studied groups acting on Lk(V ) for various k. Wagner [9] considered groups which act doubly transitively on LI(V ). Recently Kantor [6] has shown that most groups which act transitively on L2(V) also act doubly transitively on LI(V ). This paper considers groups which act transitively on Lk(V ) for 3<_k<_n-3. The main result is the following theorem.

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تاریخ انتشار 2005