منابع مشابه
Finite flag-transitive semiovals
A linear space is an incidence structure of points and lines such that any two points are incident with exactly one line, any point being incident with at least two lines and any line with at least two points. Within a linear space S, we shall often identify a line L with the set of points incident with L and define the size of L to be the number of points of S incident with L. The degree of a ...
متن کاملFinite Flag - Transitive An - 2 . 2 . L * . L Geometries
If F is a geometry for this rank 3 diagram and F' is its shadow geometry with respect to the central node of the diagram, then f satisfies the Intersection Property (IP), it belongs to the following diagram where L and L* denote the classes of linear spaces and dual linear spaces, respectively. According to a well established habit, we only consider residually connected and firm geometries. Tha...
متن کاملFinite flag-transitive affine planes with a solvable automorphism group
In this paper, we consider finite flag-transitive affine planes with a solvable automorphism group. Under a mild number-theoretic condition involving the order and dimension of the plane, the translation complement must contain a linear cyclic subgroup that either is transitive or has two equal-sized orbits on the line at infinity. We develop a new approach to the study of such planes by associ...
متن کاملThe Flag-Transitive C3-Geometries of Finite Order
It is shown that a flag-transitive C3-geometry of finite order (x, y) with x > 2 is either a finite building of type (73 (and hence the classical polar space for a 6-dimensional symplectic space, a 6-dimensional orthogonal space of plus type, a 6or 7-dimensional hermidan space, a 7-dimensional orthogonal space, or an 8-dimensional orthogonal space of minus type) or the sporadic A7 -geometry wit...
متن کامل2 - Transitive and flag - transitive designs
Throughout this paper V always will denote a design with "t; points, k > 2 points per line, and>' = 1 line through any two different points. Let G <:: Aut (V). I will primarily be interested in the case in which G either is 2-transitive on the points of VOl' is transitive on the flags (incident point-line pairs) ofV. Note that 2-transitivity implies flag-transitivity since>. = 1. The subject ma...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1991
ISSN: 0097-3165
DOI: 10.1016/0097-3165(91)90005-2