Algebraic degrees of $n$-Cayley digraphs over abelian groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929209942736896 |
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| author | Li, Hao Liu, Xiaogang |
| author_facet | Li, Hao Liu, Xiaogang |
| contents | A digraph is called an $n$-Cayley digraph if its automorphism group has an $n$-orbit semiregular subgroup. We determine the splitting fields of $n$-Cayley digraphs over abelian groups and compute a bound on their algebraic degrees, before applying our results on Cayley digraphs over non-abelian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07073 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic degrees of $n$-Cayley digraphs over abelian groups Li, Hao Liu, Xiaogang Combinatorics 05C50, 05C25 A digraph is called an $n$-Cayley digraph if its automorphism group has an $n$-orbit semiregular subgroup. We determine the splitting fields of $n$-Cayley digraphs over abelian groups and compute a bound on their algebraic degrees, before applying our results on Cayley digraphs over non-abelian groups. |
| title | Algebraic degrees of $n$-Cayley digraphs over abelian groups |
| topic | Combinatorics 05C50, 05C25 |
| url | https://arxiv.org/abs/2401.07073 |