Abstract
Let t≥r be an integer. If G is a group acting flag-transitively on a finite linear space and G 0 is a normal subgroup of G with t orbits on the flags, then G 0 is point-primitive up to a finite number of exceptions.
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Dedicated to Helmut Salzmann on the occasion of his 60th birthday
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Buekenhout, F. The Higman - McLaughlin theorem for flag-transitive linear spaces. Geom Dedicata 36, 171–179 (1990). https://doi.org/10.1007/BF00150786
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DOI: https://doi.org/10.1007/BF00150786