Geodesic
Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs
Haiyan Guan1 ; Shenglin Zhou1
1South China University of Technology
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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Let $\mathcal{S}$ be a linear space with 106 points, with lines of size 6, and let $G$ be an automorphism group of $\mathcal{S}$. We prove that $G$ cannot be point-transitive. In other words, there exists no point-transitive 2-(106, 6, 1) designs.
DOI : 10.37236/3519
Classification : 05B05, 05B25, 20B25
Mots-clés : linear space, design, point-transitive

Haiyan Guan  1   ; Shenglin Zhou  1

1 South China University of Technology 
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     title = {Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs},
     journal = {The electronic journal of combinatorics},
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Haiyan Guan; Shenglin Zhou. Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3519

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