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Arcs and k-sets with large nucleus-set in Hall planes

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Publication:1118811
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DOI10.1007/BF01224244zbMath0669.51006MaRDI QIDQ1118811

Tamás Szőnyi

Publication date: 1989

Published in: Journal of Geometry (Search for Journal in Brave)


zbMATH Keywords

projective planeHall planecomplete k-arcsinternal nucleus


Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15)


Related Items

On the nuclei of a pointset of a finite projective plane, Images of conics under derivation, Inherited conics in Hall planes, Existence of canonically inherited arcs in Moulton planes of odd order, Complete unital-derived arcs in the Hall planes



Cites Work

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  • Elementary proofs of two fundamental theorems of B. Segre without using the Hasse-Weil theorem
  • Inherited arcs in finite affine planes
  • Complete arcs and algebraic curves in \(\text{PG}(2,q)\)
  • On the nuclei of a pointset of a finite projective plane
  • Arcs and ovals in derivable planes
  • Note on (q+2)-Sets in A Galois Plane of Order q
  • On (q+2)-Sets in A Non-Desarguesian Projective Plane of Order q
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