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Flocks of hyperbolic quadrics and linear groups containing homologies

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Abstract

The classification of the subgroups of PGL(2,q) can be used to obtain the classification of the flocks of the hyperbolic quadrics in PG(3,q). A description of the group of all linear collineations preserving a given flock is also obtained.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università della Basilicata, via N. Sauro 85, I-85100, Potenza, Italy

    Arrigo Bonisoli & Gábor Korchmáros

Authors
  1. Arrigo Bonisoli
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  2. Gábor Korchmáros
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Work done within the activity of GNSAGA of CNR and supported by the Italian Ministry for Research and Technology.

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Bonisoli, A., Korchmáros, G. Flocks of hyperbolic quadrics and linear groups containing homologies. Geom Dedicata 42, 295–309 (1992). https://doi.org/10.1007/BF02414068

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