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<p>A digraph is called an <i>n</i>-Cayley digraph if its automorphism group has an <i>n</i>-orbit semiregular subgroup. We determine the splitting fields of <i>n</i>-Cayley digraphs over abelian groups and compute a bound on their algebraic degrees, before applying our results on Cayley digraphs over non-abelian groups.</p>

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Algebraic degrees of n-Cayley digraphs over abelian groups

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Hao Li,
  • Xiaogang Liu

摘要

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.