The Classification of Finite Generalized Quadrangles Admitting a Group Acting Transitively on Ordered Pentagons
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چکیده
Let S be a thick generalized quadrangle and let G be a group of automorphisms of S. If G acts transitively on the set of non-degenerate ordered pentagons, then S is one of the classical generalized quadrangles W (q), Q(4, q), Q(5, q) or H(3, q2). The possibilities for G in each case are determined. We do not use the classification of the finite simple groups (from which this result also follows).
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تاریخ انتشار 2013