| Point-Transitive Linear Spaces |
| Received:January 27, 2018 Revised:July 17, 2018 |
| Key Words:
linear space design automorphism group point-transitive
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11801311; 11626141). |
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| Abstract: |
| This work is a contribution to the classification of linear spaces admitting a point-transitive automorphism group. Let ${\mathcal{S}}$ be a regular linear space with 51 points, with lines of size 6, and $G$ be an automorphism group of ${\mathcal{S}}$. We prove that $G$ cannot be point-transitive. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.06.001 |
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