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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bamberg, John / Bannai, Eiichi / Cavalieri, Renzo / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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1615-7168
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Unitals with many Baer secants through a fixed point

Sara Rottey / Geertrui Van de Voorde
Published Online: 2017-06-09 | DOI: https://doi.org/10.1515/advgeom-2017-0010

Abstract

We show that a unital U in PG(2, q2) containing a point P, such that at least q2 – ∈ of the secant lines through P intersect U in a Baer subline, is an ovoidal Buekenhout–Metz unital (where ∈ ≈ 2q for q even and ∈ ≈ q3/2/2 for q odd).

Keywords: Unital; Buekenhout–Metz unital; Baer subline

About the article


Received: 2015-03-18

Revised: 2016-10-18

Published Online: 2017-06-09


Citation Information: Advances in Geometry, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2017-0010.

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