منابع مشابه
BLT-sets over small fields
A BLT-set is a set X of q+l points of the generalized quadrangle Q(4, q), q odd, such that no point of Q(4, q) is collinear with more than 2 points of X. BLT-sets are closely related to flocks of the quadratic cone, elation generalised quadrangles and certain translation planes. In this paper we report on the results of computer searches for BLT-sets for odd q ::; 25. We complete the classifica...
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in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
15 صفحه اولA Class of Transitive BLT-Sets
We present a class of transitive BLT-sets that contains several known examples and at least one new example over the field with 41 elements with automorphism group Z21 : (Z2 × Z2). This example is sporadic in the sense that it does not fall into any of the known infinite families of BLT-sets.
متن کاملSPG-reguli, SPG-systems, BLT-sets and sets with the BLT-property
This paper is a survey on SPG-reguli, SPG-systems, BLT-sets and sets with the BLT-property. It is shown how from these sets generalized quadrangles, partial geometries and semi-partial geometries can be constructed. Many examples are given and open problems are stated. There are also some new results. c © 2007 Elsevier B.V. All rights reserved.
متن کاملBLT-sets admitting the symmetric group S4
We describe a set of subgroups isomorphic to S4 in PΓO(5, q), q ≡ 5(6), and prove that they belong to exactly two different conjugacy classes. As an application we use a representative group in each of the conjugacy classes to construct a number of BLT-sets of Q(4, q), some of which were previously found by computer in [5] (see also [4]), others of which are new.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2004
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2003.09.006