English

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

Group Theory 2023-07-26 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.2307.13525,
  title  = {On symmetric 2-designs of prime order with almost simple flag-transitive automorphism groups},
  author = {Z. W. Lu and S. L. Zhou},
  journal= {arXiv preprint arXiv:2307.13525},
  year   = {2023}
}

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28 pages