论文标题
用$ \ gcd（r，λ）= 1 $允许国旗交易式自动形态组的块设计
Block designs with $\gcd(r,λ)=1$ admitting flag-transitive automorphism groups
论文作者
论文摘要
在本文中，我们提出了$ 2 $ designs的分类，其中$ \ gcd（r，λ）= 1 $允许flag trag thransitive thransitive thransitive自动构成组。如果$ g $是一个非平凡的$ 2 $ -Design $ \ Mathcal {d} $，带有$ \ gcd（r，λ）= 1 $，则是$（\ nathcal {d}，g）$是本文中描述的已知示例之一，或者是$ Mathcal cople { $ p $ prime和$ g $是$aγl_{1}（q）$的子组。
In this paper, we present a classification of $2$-designs with $\gcd(r,λ)=1$ admitting flag-transitive automorphism groups. If $G$ is a flag-transitive automorphism group of a non-trivial $2$-design $\mathcal{D}$ with $\gcd(r,λ)=1$, then either $(\mathcal{D},G)$ is one of the known examples described in this paper, or $\mathcal{D}$ has $q = p^{d}$ points with $p$ prime and $G$ is a subgroup of $AΓL_{1}(q)$.
