On edge-transitive graphs of square-free order (Q490414)
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scientific article; zbMATH DE number 6476279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On edge-transitive graphs of square-free order |
scientific article; zbMATH DE number 6476279 |
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On edge-transitive graphs of square-free order (English)
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27 August 2015
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Summary: We study the class of edge-transitive graphs of square-free order and valency at most \(k\). It is shown that, except for a few special families of graphs, only finitely many members in this class are \textit{basic} (namely, not a normal multicover of another member). Using this result, we determine the automorphism groups of locally primitive arc-transitive graphs with square-free order.
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edge-transitive graph
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arc-transitive graph
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stabilizer
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quasiprimitive permutation group
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almost simple group
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0.96211106
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0.9559747
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0.9321631
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0.9284791
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0.90517974
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0.8995822
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0.89671177
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