Flag-transitive C₂.L_n geometries

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• 作者：Del Fra ; A. ; Pica ; G.
• 刊名：Discrete Mathematics
• 出版年：1997
• 出版时间：September 15, 1997
• 年：1997
• 卷：174
• 期：1-3
• 页码：99-105
• 全文大小：316 K

文摘

In this paper we prove that the only locally finite, thick flag-transitive C_n.L geometries with n≥3 are truncations of polar spaces. We recall that for n = 2 an example of thick flag-transitive geometry which is not a truncated polar space has been given by Ronan (1980, 1986). Moreover, we prove that no flag-transitive thick C₂.Af.A_n−2.L geometry exists with classical generalized quadrangles as lower residues of elements of type 2, except possibly when q = 3 or 4. However there are examples of flag-transitive thick C₂.Af.A_n−2.L geometries where the lower residue of a plane is isomorphic to the generalized quadrangle dual of T^*(O).