Primitive symmetric designs with at most 255 points
نویسندگان
چکیده
منابع مشابه
Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type
Let $G$ be an automorphism group of a $2$-$(v,k,4)$ symmetric design $mathcal D$. In this paper, we prove that if $G$ is flag-transitive point-primitive, then the socle of $G$ cannot be an exceptional group of Lie type.
متن کاملFlag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).
متن کاملflag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of lie type
let $g$ be an automorphism group of a $2$-$(v,k,4)$ symmetric design $mathcal d$. in this paper, we prove that if $g$ is flag-transitive point-primitive, then the socle of $g$ cannot be an exceptional group of lie type.
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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...
متن کاملReduction for primitive flag-transitive (v, k, 4)-symmetric designs
It has been shown that if a (v,k,λ )-symmetric design with λ ≤ 3 admits a flag-transitive automorphism group G which acts primitively on points, then G must be of affine or almost simple type. Here we extend the result to λ = 4.
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ژورنال
عنوان ژورنال: Glasnik Matematicki
سال: 2010
ISSN: 0017-095X
DOI: 10.3336/gm.45.2.01