Geodesic
Flag-transitive non-symmetric 2-designs with \((r,\lambda)=1\) and alternating socle
Shenglin Zhou1 ; Yajie Wang1
1South China University of Technology
The electronic journal of combinatorics, Tome 22 (2015) no. 2
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This paper deals with flag-transitive non-symmetric 2-designs with $(r,\lambda)=1$. We prove that if $\mathcal D$ is a non-trivial non-symmetric $2$-$(v,k,\lambda)$ design with $(r,\lambda)=1$ and $G\leq Aut(\mathcal D)$ is flag-transitive with $Soc(G)=A_n$ for $n\geq 5$, then $\mathcal D$ is a $2$-$(6,3,2)$ design, the projective space $PG(3,2)$, or a $2$-$(10,6,5)$ design.
DOI : 10.37236/4664
Classification : 05B30, 05B25, 20B25
Mots-clés : non-symmetric design, automorphism group, flag-transitive design, alternating group

Shenglin Zhou  1   ; Yajie Wang  1

1 South China University of Technology 
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     author = {Shenglin Zhou and Yajie Wang},
     title = {Flag-transitive non-symmetric 2-designs with \((r,\lambda)=1\) and alternating socle},
     journal = {The electronic journal of combinatorics},
     year = {2015},
     volume = {22},
     number = {2},
     doi = {10.37236/4664},
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Shenglin Zhou; Yajie Wang. Flag-transitive non-symmetric 2-designs with \((r,\lambda)=1\) and alternating socle. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4664

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