Abstract
This paper contains some general results about the automorphism group H of PG(3,q) leaving a β-derived spread βF invariant. The main result asserts that H contains a cyclic subgroups M*, whose order divides (q+1)/2. In particular, H is not trivial. In terms of translation planes this means that the translation complement of any β-derived plane always admits some collineations which are not dilatations.
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Research partially supported by M.P.I. (Research project “Strutture Geometriche Combinatorie e loro Applicazioni”).
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Abatangelo, L.M. On the automorphism groups of β-derived planes. J Geom 25, 19–29 (1985). https://doi.org/10.1007/BF01222942
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DOI: https://doi.org/10.1007/BF01222942