Affine Type Groups and Flag-Transitive 6-(v, k, 3) Designs
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 $(v,k,4)$ 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 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.
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 کامل3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block-transitive 7–(v, k, 3) design and prove our main theorem: If the automorphism group of a 7–(v, k, 3) design is block-transitive, then it is neithe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2017
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2017.73020