Classification of the non-trivial $2$-$(k^{2},k,\lambda )$ designs, with $\lambda \mid k$, admitting a flag-transitive almost simple automorphism group

Alessandro Montinaro

Classification of the non-trivial $2$-$(k^{2},k,\lambda )$ designs, with $\lambda \mid k$, admitting a flag-transitive almost simple automorphism group

Group Theory 2022-03-18 v1 Combinatorics

Authors: Alessandro Montinaro

Abstract

Non-trivial $2$ - $(k^{2},k,\lambda )$ designs, with $\lambda \mid k$ , admitting a flag-transitive almost simple automorphism group are classified.

Keywords

flag-transitive designs automorphism groups wreath product of groups

Cite

@article{arxiv.2203.09267,
  title  = {Classification of the non-trivial $2$-$(k^{2},k,\lambda )$ designs, with $\lambda \mid k$, admitting a flag-transitive almost simple automorphism group},
  author = {Alessandro Montinaro},
  journal= {arXiv preprint arXiv:2203.09267},
  year   = {2022}
}