Algebraic degrees of $n$-Cayley digraphs over abelian groups

Hao Li, Xiaogang Liu

Published 2024-01-13Version 1

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.