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Analysing flag-transitive point-imprimitive 2-designs

Combinatorics 2022-08-29 v1 Group Theory
Authors: Alice Devillers , Cheryl E. Praeger
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Abstract

In this paper we develop several general methods for analysing flag-transitive point-imprimitive 22-designs, which give restrictions on both the automorphisms and parameters of such designs. These constitute a tool-kit for analysing these designs and their groups. We apply these methods to complete the classification of flag-transitive, point-imprimitive 22-(v,k,λ)(v,k,\lambda) designs with λ\lambda at most 44.

Keywords

flag-transitive designs

Cite

@article{arxiv.2208.12455,
  title  = {Analysing flag-transitive point-imprimitive 2-designs},
  author = {Alice Devillers and Cheryl E. Praeger},
  journal= {arXiv preprint arXiv:2208.12455},
  year   = {2022}
}

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