ibn 2 - TRANSITIVE DESIGNS
نویسنده
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).
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In this paper we construct transitive t-designs from the linear groups L(2, q), q ≤ 23. Thereby we classify t-designs, t ≥ 2, admitting a transitive action of the linear groups L(2, q), q ≤ 23, up to 35 points and obtained numerous transitive designs, for 36 ≤ v ≤ 55. In many cases we proved the existence of t-designs with certain parameter sets. Among others we constructed t-designs with param...
متن کاملThe classification of flag-transitive Steiner 4-designs
Among the properties of homogeneity of incidence structures flagtransitivity obviously is a particularly important and natural one. Consequently, in the last decades flag-transitive Steiner t-designs (i.e. flag-transitive t-(v, k, 1) designs) have been investigated, whereas only by the use of the classification of the finite simple groups has it been possible in recent years to essentially char...
متن کاملA note on block-transitive point-imprimitive designs
We study block-transitive point-imprimitive designs. Cameron and Praeger showed that in such designs t = 2 or 3. In 2000, Mann and Tuan showed that if t = 3 then v ≤ (k2) + 1. In this paper, we show a finiteness theorem for block-transitive point-imprimitive 3-designs for which this bound is met. We prove that for a given natural number n, there are only finitely many numbers k of the form npα ...
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