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Arcs fixed byA 5 andA 6

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Abstract

The complete list of thek-arcsK inPG(n, q) fixed by a projective group isomorphic toA 5 orA 6, which acts primitively on the points ofK, is presented. This leads to new classes of 10-arcs inPG(n, q), 3 ≤n ≤5. Our results also show that the non-classical 10-arc inPG(4, 9), discovered by D.G. Glynn [3], belongs to an infinite class of 10-arcs inPG(4, 3h),h ≥2, fixed by a projective group isomorphic toA 6.

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Authors and Affiliations

  1. Dept. of Pure Mathematics, The University of Adelaide, 5005, Adelaide, SA, Australia

    Christine M. O'Keefe

  2. Dept. of Pure Maths and Computer Algebra, University of Gent, Galglaan 2, B-9000, Gent, Belgium

    Leo Storme

Authors
  1. Christine M. O'Keefe
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  2. Leo Storme
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Dedicated to Professor M. Scafati Tallini on the occasion of her sixtyfifth birthday

The first author wishes to thank the Belgian National Fund for Scientific Research for financial support

Senior research assistant of the Belgian National Fund for Scientific Research

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O'Keefe, C.M., Storme, L. Arcs fixed byA 5 andA 6 . J Geom 55, 123–138 (1996). https://doi.org/10.1007/BF01223038

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  • DOI: https://doi.org/10.1007/BF01223038

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