On immanants of Cayley tables

Xuan Wang, Hanbin Zhang

Let $G$ be a finite abelian group of order $n$ and let ${\mathcal{M}}_G=(x_{a+b}{)}_{a,b\in G}$ be the Cayley table of $G$. Let ${\text{imm}}_{\hat{I}}»({\mathcal{M}}_G)$ be the immanant of $\mathca…