In this article, we study 2-designs with prime replication number admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of almost simple or affine type. We determine 2-designs with prime replication number admitting an almost simple automorphism group.
@article{arxiv.1904.10518,
title = {Flag-transitive block designs with prime replication number and almost simple groups},
author = {Seyed Hassan Alavi and Mohsen Bayat and Jalal Choulaki and Asharf Daneshkhah},
journal= {arXiv preprint arXiv:1904.10518},
year = {2019}
}