Linear spaces with line range {n−1, n, n + 1} and at most n2 points
نویسندگان
چکیده
منابع مشابه
Linear Spaces with at Most Points
The linear spaces on points are constructed The parameters of the geometries play an important role In order to make generation easy we construct possible parameter sets for geometries rst purely algebraically Afterwards the corresponding geometries are tried to construct We de ne line types point types point cases and also re ned line types These are the rst three steps of a general decomposit...
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We consider a set X of n points in the plane, not all in a line, and the set of lines L spanned by X, where we say that a line is spanned by X if it passes through at least two elements of X. For a point P of X, we denote by t(P ) the number of lines in L which are incident to P , and call it the incident-line-number of P . We define t(X) to be MaxP∈Xt(P ), and call it the maximum incident-line...
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In 1991, Weidong Fang and Huiling Li proved that there are only finitely many non-trivial linear spaces that admit a line-transitive, point imprimitive group action, for a given value of gcd(k, r), where k is the line size and r is the number of lines on a point. The aim of this paper is to make that result effective. We obtain a classification of all linear spaces with this property having gcd...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1980
ISSN: 0263-6115
DOI: 10.1017/s1446788700016505