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Flag-transitive block designs and finite exceptional simple groups of Lie type

Group Theory 2020-04-06 v4 Combinatorics
Authors: Seyed Hassan Alavi
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Abstract

In this article, we study 22-designs with gcd⁡(r,λ)=1\gcd(r,\lambda)=1 admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type. We obtain four infinite families of such designs and provide some examples in each of these families.

Keywords

flag-transitive designs

Cite

@article{arxiv.1908.05831,
  title  = {Flag-transitive block designs and finite exceptional simple groups of Lie type},
  author = {Seyed Hassan Alavi},
  journal= {arXiv preprint arXiv:1908.05831},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1904.10518, arXiv:1702.01257

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