A generalized quadrangle with an automorphism group acting regularly on the points
Copyright policy )A generalized quadrangle with an automorphism group acting regularly on the points
The author shows that there is no finite generalized quadrangle of order \((t^2,t)\) with an automorphism group acting sharply transitively on the points; this improves results of \textit{D. Ghinelli} [Geom. Dedicata 41, 165--174 (1992; Zbl 0746.51011)]. The proof uses the characterization of the Suzuki groups as the only nonabelian finite simple groups with order not divisible by \(3\).
Computational Theory and Mathematics, generalized quadrangle, Combinatorial aspects of finite geometries, Geometry and Topology, Generalized quadrangles and generalized polygons in finite geometry, sharply transitive group, Theoretical Computer Science
Computational Theory and Mathematics, generalized quadrangle, Combinatorial aspects of finite geometries, Geometry and Topology, Generalized quadrangles and generalized polygons in finite geometry, sharply transitive group, Theoretical Computer Science
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