Relative elementary abelian groups and a class of edge-transitive Cayley graphs (Q2800023)
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scientific article; zbMATH DE number 6568876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative elementary abelian groups and a class of edge-transitive Cayley graphs |
scientific article; zbMATH DE number 6568876 |
Statements
14 April 2016
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Cayley graph
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complete graph
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REA group
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Frobenius group
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0.9281485
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0.92631465
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0.9220647
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0.91759336
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0.9112071
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0.91112685
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0.90814114
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0.9063543
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Relative elementary abelian groups and a class of edge-transitive Cayley graphs (English)
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In this paper, motivated by a problem of characterising a family of Cayley graphs, the authors studies a class of finite groups \(G\) which behave similarly to elementary abelian \(p\)-groups with \(p\) prime, that is, there exists a subgroup \(N\) such that all elements of \(G\setminus N\) are conjugate or inverse-conjugate under \(\mathrm{Aut}(G)\). It is shown that such groups correspond to complete multipartite graphs which are normal edge-transitive Cayley graphs.
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