论文标题
3个设计的块状自动构型组，块大小很小
Block-transitive automorphism groups on 3-designs with small block size
论文作者
论文摘要
该论文是对具有较小块尺寸的3设计的块译本组的结构的研究。令$ g $为非平地$ 3 $ - $（v，k，λ）$ design $ \ mathcal {d} $，带有$ k \ le 6 $的块换算$ 3 $ - $（v，k，λ）$。我们证明，如果$ g $是点主要的，那么$ g $是仿射或几乎简单的类型。如果$ g $是点刺激性的，则$ \ Mathcal {d} $是$ 3 $ - $（16,6，λ）$设计，$λ\ in \ in \ in \ {4、12、16、16、24、24、48、56、64、64、84、96、96、112、140 \} $和$ clank（g）= 3 $。
The paper is an investigation of the structure of block-transitive automorphism groups of a 3-design with small block size. Let $G$ be a block-transitive automorphism group of a nontrivial $3$-$(v,k,λ)$ design $\mathcal{D}$ with $k\le 6$. We prove that if $G$ is point-primitive then $G$ is of affine or almost simple type. If $G$ is point-imprimitive then $\mathcal{D}$ is a $3$-$(16,6,λ)$ design with $λ\in\{4, 12, 16, 24, 28, 48, 56, 64, 84, 96, 112, 140\}$, and $rank(G)=3$.
