Geodesic
Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\mathrm{gcd}(k, r)\) at most \(12\)
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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This paper investigates the finite line-transitive point-imprimitive linear spaces. Let $S$ be a non-trivial finite line-transitive point-imprimitive linear space with the Fang-Li parameter $k^{(r)}=11$ or $12$. Our conclusion is that $\mathcal{S}$ is a Desarguesian projective plane PG(2,11).
DOI : 10.37236/12615
Classification : 05B05, 05B25, 20B25, 51E05, 51E15
Mots-clés : linear space, line-transitive, automorphism group, combinatorial design, combinatorial search algorithm 
@article{10_37236_12615,
     author = {Wenya Hao and Haiyan Guan and Yajie Wang},
     title = {Line-transitive point-imprimitive linear spaces with {Fang-Li} parameter \(\mathrm{gcd}(k, r)\) at most \(12\)},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {2},
     doi = {10.37236/12615},
     zbl = {1536.05049},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12615/}
}
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Wenya Hao; Haiyan Guan; Yajie Wang. Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\mathrm{gcd}(k, r)\) at most \(12\). The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/12615

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