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On Cyclic Caps in Projective Spaces
Authors:Tamás Szőnyi
Institution:(1) Department of Computer Science, Eötvös Loránd University, Budapest, 6-8 Budapest, Múzeum krt., Hungary
Abstract:Let H be a subgroup of a cyclic Singer group of PG (n,q). In this paper we study the following problem: When is a point orbit of H a cap? A necessary and sufficient condition for this is derived and used to give a short proof of some results by Ebert 6] and to show that small orbits are typically caps.
Keywords:projective space  cyclic Singer group  arc  cap
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