An easier proof of the maximal arcs conjecture

被引：15

作者：

Ball, S ^{[1
]}

Blokhuis, A ^{[1
]}

机构：

[1] Free Univ Amsterdam, Dept Math, NL-1081 HV Amsterdam, Netherlands

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 11期

关键词：

D O I：

10.1090/S0002-9939-98-04653-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3377 / 3380

页数：4

共 7 条

[1] Maximal arcs in Desarguesian planes of odd order do not exist [J].

Ball, S ;

Blokhuis, A ;

Mazzocca, F .

COMBINATORICA, 1997, 17 (01) :31-41

[2]

Cossu A., 1961, REND MAT APPL, V5, P271

[3]

Denniston R. H. F., 1969, J. Combin. Theory, V6, P317, DOI DOI 10.1016/S0021-9800(69)80095-5

[4]

Redei L., 1973, Lacunary Polynomials Over Finite Fields

[5]

Thas J.A., 1974, Geometriae Dedicata, V3, P61, DOI 10.1007/BF00181361

[6]

Thas J.A., 1980, European Journal of Combinatorics, V1, P189, DOI [10.1016/S0195-6698(80)80052-7, DOI 10.1016/S0195-6698(80)80052-7]

[7] SOME RESULTS CONCERNING [(Q+1)(N-1)-N]-ARCS AND [(Q+1)(N-1)+1-N]-ARCS IN FINITE PROJECTIVE PLANES OF ORDER Q [J].

THAS, JA .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1975, 19 (02) :228-232

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