Abstract
Without using the classification of finite simple groups, we classify the finite generalized quadrangles of prime order admitting a group acting distance transitively on the collinearity graph. Our method uses combinatorial geometry and permutation groups.
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van Maldeghem, H. Distance Transitive Generalized Quadrangles of Prime Order. Geometriae Dedicata 83, 207–210 (2000). https://doi.org/10.1023/A:1005252527973
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DOI: https://doi.org/10.1023/A:1005252527973