On symmetric 2-designs of prime order with almost simple flag-transitive automorphism groups

2023/07/25 by Zhiwei Lü, Lu, Z. W., Shengfan Zhou +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2307.13525

openalex publication_date 2023/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we investigate symmetric 2-designs of prime order admitting a flag-transitive automorphism group G. Recently, the authors proved that the automorphism group G of this type of designs must be point-primitive, and is of affine or almost simple type. Here, we give the complete classification of symmetric 2-designs of prime order, admitting a flag-transitive almost simple automorphism group.

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