On primitivity and reduction for flag-transitive symmetric designs
نویسنده
چکیده
We present some results on flag-transitive symmetric designs. First we see what conditions are necessary for a symmetric design to admit an imprimitive, flag-transitive automorphism group. Then we move on to study the possibilities for a primitive, flag-transitive automorphism group, and prove that for λ ≤ 3, the group must be affine or almost simple, and finally we analyse the case in which a biplane admits a primitive, flag-transitive automorphism group of affine type.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 109 شماره
صفحات -
تاریخ انتشار 2005