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Proceedings of the American Mathematical Society

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An easier proof of the maximal arcs conjecture


Authors: Simeon Ball and Aart Blokhuis
Journal: Proc. Amer. Math. Soc. 126 (1998), 3377-3380
MSC (1991): Primary 51E21; Secondary 05B25
DOI: https://doi.org/10.1090/S0002-9939-98-04653-X
MathSciNet review: 1476115
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Abstract: It was a long-standing conjecture in finite geometry that a Desarguesian plane of odd order contains no maximal arcs. A rather inaccessible and long proof was given recently by the authors in collaboration with Mazzocca. In this paper a new observation leads to a greatly simplified proof of the conjecture.


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Additional Information

Simeon Ball
Affiliation: Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands

Aart Blokhuis
Affiliation: Department of Mathematics, Vrije Universiteit Amsterdam, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands

Received by editor(s): March 23, 1997
Communicated by: Jeffry N. Kahn
Article copyright: © Copyright 1998 American Mathematical Society