Classification of flag-transitive point-primitive non-symmetric 2-(v,k,λ) designs with v<100

作者：

Highlights：

• In this paper, we investigate the pair (D;G), where D is a non-symmetric design with and is a flag-transitive point-primitive automorphism group of D.

• We prove a reduction for and give a classification of the pair (D;G), which amounts to the basic properties or the classification of non-symmetric 2-designs admitting a flag-transitive point-primitive automorphism group without limitations on .

摘要

•In this paper, we investigate the pair (D;G), where D is a non-symmetric design with and is a flag-transitive point-primitive automorphism group of D.•We prove a reduction for and give a classification of the pair (D;G), which amounts to the basic properties or the classification of non-symmetric 2-designs admitting a flag-transitive point-primitive automorphism group without limitations on .

论文关键词：2-Design,Flag-transitive,Point-primitive,O’Nan-Scott theorem

论文评审过程：Received 6 November 2021, Revised 19 May 2022, Accepted 22 May 2022, Available online 27 May 2022, Version of Record 27 May 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127278