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Finite distance-transitive generalized polygons

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Abstract

Using the classification of the finite simple groups, we classify all finite generalized polygons having an automorphism group acting distance-transitively on the set of points. This proves an old conjecture of J. Tits saying that every group with an irreducible rank 2 BN-pair arises from a group of Lie type.

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Research Associate of the National Fund for Scientific Research (Belgium).

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Buekenhout, F., van Maldeghem, H. Finite distance-transitive generalized polygons. Geom Dedicata 52, 41–51 (1994). https://doi.org/10.1007/BF01263523

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