On the point stabilizers of transitive groups with non-self-paired suborbits of length 2 (Q2705007)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the point stabilizers of transitive groups with non-self-paired suborbits of length 2 |
scientific article |
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On the point stabilizers of transitive groups with non-self-paired suborbits of length 2 (English)
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17 December 2001
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transitive permutation groups
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embeddings
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point stabilizers
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involutions
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subdegrees
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non-self-paired suborbits
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orbital graphs
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oriented graphs
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digraphs
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relations
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0.9139986
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0.90730107
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0.90672636
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0.8979943
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0.8932395
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0.88835764
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0.8854967
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0.88310814
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0.8821344
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Let \(G\) be a finite transitive permutation group having a non-self-paired suborbit of length \(2\), such that the associated orbital graph is connected. In this paper the authors determine such groups \(G\) and the embedding of the point stabilizer \(H\) in \(G\) in terms of a suitable set of cyclically conjugate involutions which generate \(H\). The structure of \(H\) is given by \(3\) types of relations among these involutions, see Theorem 1.1.
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