Flag-Transitive 3-(v, k, 3) Designs and PSL(2, q) Groups

• 作者: Shaojun Dai Shangzhao Li
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 33-38
• 页数: 6页
• 语种: 英文
• DOI: 10.1142/S1005386721000043

摘要

This article is a contribution to the study of the automorphism groups of 3-(v,k,3) designs.Let S =(P,B) be a non-trivial 3-(q+ 1,k,3) design.If a two-dimensional projective linear group PSL(2,q) acts flag-transitively on S,then S is a 3-(q + 1,4,3) or 3-(q + 1,5,3) design.