On a construction of infinite families of regular Cayley maps (Q1288908)
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scientific article; zbMATH DE number 1288339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a construction of infinite families of regular Cayley maps |
scientific article; zbMATH DE number 1288339 |
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On a construction of infinite families of regular Cayley maps (English)
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18 May 1999
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The author proves by construction: If \(p\) is a balanced or antibalanced permutation on a set \(\Omega\) of generators and \(\chi\) is an involution on \(\Omega\) satisfying some additional condition then there is a finite group \(G\) such that the Cayley map \(\text{CM} (G,\Omega,\chi,p)\) is regular. This provides an infinite family of regular Cayley maps.
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Cayley graph
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regular Cayley map
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cyclic permutation
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balanced permutation
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antibalanced permutation
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