Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs (Q405161)
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scientific article; zbMATH DE number 6340156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs |
scientific article; zbMATH DE number 6340156 |
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Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs (English)
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4 September 2014
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Summary: 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.
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linear space
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design
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point-transitive
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