Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle

Hongxue Liang; Shenglin Zhou

Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle

Combinatorics 2016-03-03 v1 Group Theory

Authors: Hongxue Liang , Shenglin Zhou

Abstract

This paper studies flag-transitive point-primitive non-symmetric $2$ -( $v,k,2$ ) designs. We prove that if $\mathcal{D}$ is a non-trivial non-symmetric $2$ - $(v,k,2)$ design admitting a flag-transitive point-primitive automorphism group $G$ with $Soc(G)=A_{n}$ for $n\geq5$ , then $\mathcal{D}$ is a $2$ - $(6,3,2)$ or $2$ - $(10,4,2)$ design.

Keywords

flag-transitive designs point-primitive designs non-symmetric 2-(v,k,2) designs alternating socle automorphism group

Cite

@article{arxiv.1603.00578,
  title  = {Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle},
  author = {Hongxue Liang and Shenglin Zhou},
  journal= {arXiv preprint arXiv:1603.00578},
  year   = {2016}
}

Comments

17 pages, 3 figuers

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