Given an integer k≥3 and a group G of odd order, if there exists a 2-(v,k,1)-design and if v is sufficiently large, then there is such a design whose automorphism group has a subgroup isomorphic to G. A weaker result is proved when ∣G∣ is even and (k,∣G∣)=1.
@article{arxiv.1909.10126,
title = {Automorphism subgroups for designs with $\lambda=1$},
author = {William M. Kantor},
journal= {arXiv preprint arXiv:1909.10126},
year = {2021}
}